Which of the following word roots can not

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Word roots, along with
prefixes and
suffixes, are a useful way to
build vocabulary. This page explains
what word roots are and gives examples of some
common roots. At the end there are some
exercises to help you practise.

As noted in the section on
vocabulary building, word roots are the base of the word
which gives the word its main meaning. Prefixes and suffixes can be added, respectively, to the beginning and end of the root.
Many words in English are based on words from ancient Greek and Latin. For example, the root phon, from Greek, means sound,
and can combine with prefixes tele- (distant, from Greek) and micro- (small, from Latin) to make the words
telephone and microphone. Likewise, the root vis or vid, from Latin, means see, and leads to words like
vision (sight) and video (visual media with moving images). This Latin root can also combine with the Greek prefix
tele- to make television.

The following table shows some common roots, along with their meaning and some example words. There are fifty roots in total.
The majority of these are of Latin or Greek origin. They are colour-coded according to language of origin:
Greek roots in green, Latin roots
in red, other roots in black.

Root Meaning Examples ann(u), enn yearly annual, annuity, anniversary, millennium arch chief, first, rule architect, archaic, monarchy aud hearing audio, audience, audition, audiovisual, auditorium, inaudible ced(e), ceed, cess, ceas to go, to yield succeed, proceed, process, precede, recede, exceed, succession, accessible, cease, cessation chron time chronic, chronology, chronicle, synchronize, anachronism dem(o) the people democracy, demography, demagogue, endemic, pandemic dic(t) speak, tell dictate, dictation, diction, dictator, verdict, predict, contradict, dictionary fin end, ended, finished final, finite, finish, finale, confine, refine, define fix repair, attach fix, fixation, fixture, affix, prefix, suffix flex, flect bend flex, reflex, flexible, inflexibility, reflect, deflect fort strength, strong effort, fort, forte, fortify, fortitude form shape, resemble form, format, formulate, formal, formula, conform, perform fract, frag, frai break fracture, infraction, fraction, refract, fragile, frail gen birth, race, produce gene, genesis, genetics, eugenics, genealogy, generate, generous, antigen, pathogen geo earth geology, geologist, geometry, geography, geographer, geopolitical grad, gress, gree go, step grade, gradual, graduate, digress, progress, degree graph to write, to draw graph, graphic, autograph, biography, photograph, telegraph, demographic grav heavy, weighty grave, gravity, aggravate, gravitate her(e), hes stick adhere, cohere, cohesion, inherent, hereditary, hesitate hydr(o) water dehydrate, hydroelectric, hydrogen, hydropower liber, liver free liberty, liberal, liberalize, deliverance liter letters literary, literature, literal, alliteration, obliterate meter measure meter, thermometer, diameter, barometer mob, mov, mot move motion, remove, mobile, motor pel, puls drive, push, urge compel, dispel, expel, repel, propel, pulse, impulse, pulsate, compulsory, expulsion, repulsive pend, pens hang, weigh pendant, pendulum, suspend, appendage, pensive, append phon sound microphone, phonograph, telephone , symphony, phonetic photo light photograph, photocopy, photon, photosynthesis, telephoto, photometer, photosensitive plu(r) more plural, pluralist, plus poli city metropolis, megalopolis, acropolis, police, politics pon, pos, pound place, put component, opponent, proponent, expose, impose, deposit, postpone, posture, position, expound, impound pop people population, populous, popular port carry porter, portable, transport, report, export, support, import, important prin, prim(e) first primary, primitive, primacy, primal, prince, principal rupt to break disrupt, interrupt, rupture, corrupt, abrupt sci know science, conscious, omniscient sec(t) cut intersect, transect, dissect, secant, section sent, sens feel, think sentiment, consent, resent, dissent, sentimental, sense, sensation, sensitive, sensory, dissension sequ, secu, sue follow sequence, consequence, sequel, subsequent, prosecute, consecutive, second, ensue, pursue serv save, serve, keep servant, service, subservient, servitude, preserve, conserve, reservation, deserve, conservation, observe sign(i) sign, mark, seal signal, signature, design, insignia, significant simil, simul like, resembling similar, assimilate, simulate, simulacrum, simultaneous solv, solu(t) loosen, explain solve, solvent, absolve, resolve, soluble, solution, resolution, resolute spect see respect, inspection, inspector, spectator, spectacles, prospect, aspect stru(ct), str(o)y build, form instruct, instruction, construction, reconstruction, obstruct, destruction, infrastructure, construe, instrument, instrumental, industry, ministry tem(po) time tempo, temporary, extemporaneously, contemporary, ver(i) true very, aver, verdict, verity, verify, verisimilitude, veracity vid, vis see video, evident, provide, visible, revise, supervise, vista, visit, vision viv(i), vita alive, life revive, survive, vivid, vivacious, vitality, vital, vitamins, revitalize volv, vol(t) turn about, roll revolve, convolution, revolt, evolution

The following checklist summarises the information on this page. Use it to check your understanding.

Афанасьева О. В., Морозова Н. Н. А72 Лексикология английского языка: Учеб пособие для студентов. 3-е изд., стереотип

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How English Words Are Made. Word-Building1

Before turning to the various processes of making words, it would be useful to analyse the related problem of the composition of words, i. e. of their constituent parts.

If viewed structurally, words appear to be divisible into smaller units which are called morphemes. Morphemes do not occur as free forms but only as constituents of words. Yet they possess meanings of their own.

All morphemes are subdivided into two large classes: roots (or radicals} and affixes. The latter, in their turn, fall into prefixes which precede the root in the structure of the word (as in re-read, mis-pronounce, un-well) and suffixes which follow the root (as in teach-er, cur-able, diet-ate).

Words which consist of a root and an affix (or several affixes) are called derived words or derivatives and are produced by the process of word-building known as affixation (or derivation).

Derived words are extremely numerous in the English vocabulary. Successfully competing with this structural type is the so-called root word which has only a root morpheme in its structure. This type is widely represented by a great number of words belonging to the original English stock or to earlier borrowings (house, room, book, work, port, street, table, etc.), and, in Modern English, has been greatly enlarged by the type of word-building called conversion (e. g. to hand, v. formed from the noun hand; to can, v. from can, п.; to pale, v. from pale, adj.; a find, n. from to find, v.; etc.).

Another wide-spread word-structure is a compound word consisting of two or more stems2 (e. g. dining-room, bluebell, mother-in-law, good-for-nothing). Words of this structural type are produced by the word-building process called composition.

The somewhat odd-looking words like flu, pram, lab, M. P., V-day, H-bomb are called shortenings, contractions or curtailed words and are produced by the way of word-building called shortening (contraction).

The four types (root words, derived words, compounds, shortenings) represent the main structural types of Modern English words, and conversion, derivation and composition the most productive ways of word-building.

To return to the question posed by the title of this chapter, of how words are made, let us try and get a more detailed picture of each of the major types of Modern English word-building and, also, of some minor types.

Affixation

The process of affixation consists in coining a new word by adding an affix or several affixes to some root morpheme. The role of the affix in this procedure is Very important and therefore it is necessary to consider certain facts about the main types of affixes.

From the etymological point of view affixes are classified into the same two large groups as words: native and borrowed.

Some Native Suffixes1

Noun-forming

-er worker, miner, teacher, painter, etc.
-ness coldness, loneliness, loveliness, etc.
-ing feeling, meaning, singing, reading, etc.
-dom freedom, wisdom, kingdom, etc.
-hood childhood, manhood, motherhood, etc.
-ship friendship, companionship, mastership, etc.
-th length, breadth, health, truth, etc.

Adjective-forming

-ful careful, joyful, wonderful, sinful, skilful, etc.
-less careless, sleepless, cloudless, senseless, etc.
-y cozy, tidy, merry, snowy, showy, etc.
-ish English, Spanish, reddish, childish, etc.
-ly lonely, lovely, ugly, likely, lordly, etc.
-en wooden, woollen, silken, golden, etc.
-some handsome, quarrelsome, tiresome, etc.
Verb-forming -en widen, redden, darken, sadden, etc.
Adverb-forming -ly warmly, hardly, simply, carefully, coldly, etc.

Borrowed affixes, especially of Romance origin are numerous in the English vocabulary (Ch. 3). It would be wrong, though, to suppose that affixes are borrowed in the same way and for the same reasons as words. An affix of foreign origin can be regarded as borrowed only after it has begun an independent and active life in the recipient language, that is, is taking part in the word-making processes of that language. This can only occur when the total of words with this affix is so great in the recipient language as to affect the native speakers’ subconscious to the extent that they no longer realize its foreign flavour and accept it as their own.

* * *

Affixes can also be classified into productive and non-productive types. By productive affixes we mean the ones, which take part in deriving new words in this particular period of language development. The best way to identify productive affixes is to look for them among neologisms and so-called nonce-words, i. e. words coined and used only for this particular occasion. The latter are usually formed on the level of living speech and reflect the most productive and progressive patterns in word-building. When a literary critic writes about a certain book that it is an unputdownable thriller, we will seek in vain this strange and impressive adjective in dictionaries, for it is a nonce-Word coined on the current pattern of Modern English and is evidence of the high productivity of the adjective-forming borrowed suffix -able and the native prefix un-.

Consider, for example, the following:

Professor Pringle was a thinnish, baldish, dispeptic-lookingish cove with an eye like a haddock.

(From Right-Ho, Jeeves by P. G. Wodehouse)

The adjectives thinnish and baldish bring to mind dozens of other adjectives made with the same suffix; oldish, youngish, mannish, girlish, fattish, longish, yellowish, etc. But dispeptic-lookingish is the author’s creation aimed at a humorous effect, and, at the same time, proving beyond doubt that the suffix -ish is a live and active one.

The same is well illustrated by the following popular statement: «I don’t like Sunday evenings: I feel so Mondayish». (Mondayish is certainly a nonce-word.)

One should not confuse the productivity of affixes with their frequency of occurrence. There are quite & number of high-frequency affixes which, nevertheless, are no longer used in word-derivation (e. g. the adjective-forming native suffixes -ful, -ly; the adjective-forming suffixes of Latin origin -ant, -ent, -al which are quite frequent).

Some Productive Affixes

Noun-forming suffixes er, -ing, -ness, -ism1 (materialism), -ist1 (impressionist), -ance
Adjective-forming suffixes -y, -ish, -ed (learned), -able, -less
Adverb-forming suffixes -ly
Verb-forming suffixes -ize/-ise (realize), -ate
Prefixes un- (unhappy), re- (reconstruct), dis- (disappoint)

Note. Examples are given only for the affixes which are not listed in the tables at p. 82 and p. 83.

Some Non-Productive Affixes

Noun-forming suffixes -th,-hood
Adjective-forming suffixes -ly, -some, -en, -ous
Verb-forming suffix -en

Note. The native noun-forming suffixes -dom and -ship ceased to be productive centuries ago. Yet, Professor I. V. Arnold in The English Word gives some examples of comparatively new formations with the suffix -dom: boredom, serfdom, slavedom [15]. The same is true about -ship (e. g- salesmanship). The adjective-forming -ish, which leaves no doubt as to its productivity nowadays, has comparatively recently regained it, after having been non-productive for many centuries.

Semantics of Affixes

The morpheme, and therefore affix, which is a type of morpheme, is generally defined as the smallest indivisible component of the word possessing a meaning of its own. Meanings of affixes are specific and considerably differ from those of root morphemes. Affixes have widely generalized meanings and refer the concept conveyed by the whole word to a certain category, which is vast and all-embracing. So, the noun-forming suffix -er could be roughly defined as designating persons from the object of their occupation or labour (painter — the one who paints) or from their place of origin or abode {southerner — the one living in the South). The adjective-forming suffix -ful has the meaning of «full of», «characterized by» (beautiful, careful) whereas -ish Olay often imply insufficiency of quality (greenish — green, but not quite; youngish — not quite young but looking it).

Such examples might lead one to the somewhat hasty conclusion that the meaning of a derived word is always a sum of the meanings of its morphemes: un/eat/able =» «not fit to eat» where not stands for un- and fit for: -able.

There are numerous derived words whose meanings can really be easily deduced from the meanings of their constituent parts. Yet, such cases represent only the first and simplest stage of semantic readjustment with in derived words. The constituent morphemes within derivatives do not always preserve their current meanings and are open to subtle and complicated semantic shifts.

Let us take at random some of the adjectives formed with the same productive suffix -y, and try to deduce the meaning of the suffix from their dictionary definitions:

brainy (inform.) — intelligent, intellectual, i. e, characterized by brains

catty — quietly or slyly malicious, spiteful, i. e, characterized by features ascribed to a cat

chatty — given to chat, inclined to chat

dressy (inform.) — showy in dress, i. e. inclined to dress well or to be overdressed

fishy (e. g. in a fishy story, inform.) — improbable, hard to believe (like stories told by fishermen)

foxy — foxlike, cunning or crafty, i. e. characterized by features ascribed to a fox

stagy — theatrical, unnatural, i. e. inclined to affectation, to unnatural theatrical manners

touchy — apt to take offence on slight provocation, i. e. resenting a touch or contact (not at all inclined to be touched)1

The Random-House Dictionary defines the meaning of the -y suffix as «characterized by or inclined to the substance or action of the root to which the affix is attached». [46] Yet, even the few given examples show that, on the one hand, there are cases, like touchy or fishy that are not covered by the definition. On the other hand, even those cases that are roughly covered, show a wide variety of subtle shades of meaning. It is not only the suffix that adds its own meaning to the meaning of the root, but the suffix is, in its turn, affected by the root and undergoes certain semantic changes, so that the mutual influence of root and affix creates a wide range of subtle nuances.

But is the suffix -y probably exceptional in this respect? It is sufficient to examine further examples to see that other affixes also offer an interesting variety of semantic shades. Compare, for instance, the meanings of adjective-forming suffixes in each of these groups of adjectives.

1. eatable (fit or good to eat)2

lovable (worthy of loving)

questionable (open to doubt, to question)

imaginable (capable of being imagined)

2. lovely (charming, beautiful, i. e. inspiring love)

lonely (solitary, without company; lone; the meaning of the suffix does not seem to add anything to that of the root)

friendly (characteristic of or befitting a friend.)

heavenly (resembling or befitting heaven; beautiful, splendid)

3. childish (resembling or befitting a child)

tallish (rather tall, but not quite, i. e. approaching the quality of big size)

girlish (like a girl, but, often, in a bad imitation of one)

bookish (1) given or devoted to reading or study;

(2) more acquainted with books than with real life, i. e. possessing the quality of bookish learning)

The semantic distinctions of words produced from the same root by means of different affixes are also of considerable interest, both for language studies and research work. Compare: womanly — womanish, floweryflowered -— flowering, starry — starred, reddenedreddish, shortened — shortish.

The semantic difference between the members of these groups is very obvious: the meanings of the suffixes are so distinct that they colour the whole words.

Womanly is used in a complimentary manner about girls and women, whereas womanish is used to indicate an effeminate man and certainly implies criticism.

Flowery is applied to speech or a style (cf. with the R. цветистый), flowered means «decorated with a patters of flowers» (e. g. flowered silk or chintz, cf. with the R, цветастый) and flowering is the same as blossoming (e. g. flowering bushes or shrubs, cf. with the R. цветущий).

Starry means «resembling stars» (e. g. starry eyes) and starred — «covered or decorated with stars» (e. g. starred skies).

Reddened and shortened both imply the result of an action or process, as in the eyes reddened with weeping or a shortened version of a story (i. e. a story that has been abridged) whereas shortish and reddish point to insufficiency of quality: reddish is not exactly red, but tinged with red, and a shortish man is probably a little taller than a man described as short.

Conversion

When in a book-review a book is referred to as a splendid read, is read to be regarded as a verb or a noun? What part of speech is room in the sentence: I was to room with another girl called Jessie. If a character in a novel is spoken about as one who had to be satisfied with the role of a has-been, what is this odd-looking has-been, a verb or a noun? One must admit that it has quite a verbal appearance, but why, then, is it preceded by the article?

Why is the word if used in the plural form in the popular proverb: If ifs and ans were pots and pans? (an = if, dial., arch.)

This type of questions naturally arise when one deals with words produced by conversion, one of the most productive ways of modern English word-building.

Conversion is sometimes referred to as an affixless way of word-building or even affixless derivation. Saying that, however, is saying very little because there are other types of word-building in which new words are also formed without affixes (most compounds, contracted words, sound-imitation words, etc.).

Conversion consists in making a new word from some existing word by changing the category of a part of speech, the morphemic shape of the original word remaining unchanged. The new word has a meaning Which differs from that of the original one though it can more or less be easily associated with it. It has also a new paradigm peculiar to its new category as a part of speech.

The question of conversion has, for a long time, been a controversial one in several aspects. The very essence of this process has been treated by a number of scholars (e. g. H. Sweet), not as a word-building act, but as a mere functional change. From this point of view the word hand in Hand me that book is not a verb, but a noun used in a verbal syntactical function, that is, hand (me) and hands (in She has small hands) are not two different words but one. Hence, the case cannot be treated as one of word-formation for no new word appears.

According to this functional approach, conversion may be regarded as a specific feature of the English categories of parts of speech, which are supposed to be able to break through the rigid borderlines dividing one category from another thus enriching the process of communication not by the creation of new words but through the sheer flexibility of the syntactic structures.

Nowadays this theory finds increasingly fewer supporters, and conversion is universally accepted as one of the major ways of enriching English vocabulary with new words. One of the major arguments for this approach to conversion is the semantic change that regularly accompanies each instance of conversion. Normally, a word changes its syntactic function without any shift in lexical meaning. E. g. both in yellow leaves and in The leaves were turning yellow the adjective denotes colour. Yet, in The leaves yellowed the converted unit no longer denotes colour, but the process of changing colour, so that there is an essential change in meaning.

The change of meaning is even more obvious in such pairs as hand > to hand, face > to face, to go > a go, to make > a make, etc.

The other argument is the regularity and completeness with which converted units develop a paradigm of their new category of part of speech. As soon as it has crossed the category borderline, the new word automatically acquires all the properties of the new category, so that if it has entered the verb category, it is now regularly used in all the forms of tense and it also develops the forms of the participle and the gerund. Such regularity can hardly be regarded as indicating a mere functional change which might be expected to bear more occasional characteristics. The completeness of the paradigms in new conversion formations seems to be a decisive argument proving that here we are dealing with new words and not with mere functional variants. The data of the more reputable modern English dictionaries confirm this point of view: they all present converted pairs as homonyms, i. e. as two words, thus supporting the thesis that conversion is a word-building process.

Conversion is not only a highly productive but also a particularly English way of word-building. Its immense productivity is considerably encouraged by certain features of the English language in its modern Stage of development. The analytical structure of Modern English greatly facilitates processes of making words of one category of parts of speech from words of another. So does the simplicity of paradigms of En-lush parts of speech. A great number of one-syllable Words is another factor in favour of conversion, for such words are naturally more mobile and flexible than polysyllables.

Conversion is a convenient and «easy» way of enriching the vocabulary with new words. It is certainly an advantage to have two (or more) words where there Was one, all of them fixed on the same structural and semantic base.

The high productivity of conversion finds its reflection in speech where numerous occasional cases of conversion can be found, which are not registered by dictionaries and which occur momentarily, through the immediate need of the situation. «If anybody oranges me again tonight, I’ll knock his face off, says the annoyed hero of a story by O’Henry when a shop-assistant offers him oranges (for the tenth time in one night) instead of peaches for which he is looking («Lit. tie Speck in Garnered Fruit»). One is not likely to find the verb to orange in any dictionary, but in this situation it answers the need for brevity, expressiveness and humour.

The very first example, which opens the section on conversion in this chapter (the book is a splendid read), though taken from a book-review, is a nonce-word, which may be used by reviewers now and then or in informal verbal communication, but has not yet found its way into the universally acknowledged English vocabulary.

Such examples as these show that conversion is a vital and developing process that penetrates contemporary speech as well. Subconsciously every English speaker realizes the immense potentiality of making a word into another part of speech when the need arises.

* * *

One should guard against thinking that every case of noun and verb (verb and adjective, adjective and noun, etc.) with the same morphemic shape results from conversion. There are numerous pairs of words (e. g. love, n. — to love, v.; work, n. — to work, v.; drink, n. — to drink, v., etc.) which did, not occur due to conversion but coincided as a result of certain historical processes (dropping of endings, simplification of stems) when before that they had different forms (e. g. O. E. lufu, n. — lufian, v.). On the other hand, it is quite true that the first cases of conversion (which were registered in the 14th c.) imitated such pairs of words as love, n. — to love, v. for they were numerous to the vocabulary and were subconsciously accepted by native speakers as one of the typical language patterns.

* * *

The two categories of parts of speech especially affected by conversion are nouns and verbs. Verbs made from nouns are the most numerous amongst the words produced by conversion: e. g. to hand, to back, to face, to eye, to mouth, to nose, to dog, to wolf, to monkey, to can, to coal, to stage, to screen, to room, to floor, to lack-mail, to blacklist, to honeymoon, and very many ethers.

Nouns are frequently made from verbs: do (e. g. This ifs the queerest do I’ve ever come across. Do — event, incident), go (e. g. He has still plenty of go at his age. Go — energy), make, run, find, catch, cut, walk, worry, show, move, etc.

Verbs can also be made from adjectives: to pale, to yellow, to cool, to grey, to rough (e. g. We decided sq rough it in the tents as the weather was warm), etc.

Other parts of speech are not entirely unsusceptible to conversion as the following examples show: to down, to out (as in a newspaper heading Diplomatist Outed from Budapest), the ups and downs, the ins and outs, like, n. (as in the like of me and the like of you).

* * *

It was mentioned at the beginning of this section that a word made by conversion has a different meaning from that of the word from which it was made though the two meanings can be associated. There are Certain regularities in these associations which can be roughly classified. For instance, in the group of verbs made from nouns some of the regular semantic associations are as indicated in the following list:

I. The noun is the name of a tool or implement, the verb denotes an action performed by the tool: to hammer, to nail, to pin, to brush, to comb, to pencil.

II. The noun is the name of an animal, the verb denotes an action or aspect of behaviour considered typical of this animal: to dog, to wolf, to monkey, to ape, to fox, to rat. Yet, to fish does not mean «to behave like a fish» but «to try to catch fish». The same meaning of hunting activities is conveyed by the verb to whale and one of the meanings of to rat; the other is «to turn informer, squeal» (sl.).

III. The name of a part of the human body — an action performed by it: to hand, to leg (sl.), to eye, to elbow, to shoulder, to nose, to mouth. However, to face does not imply doing something by or even with one’s face but turning it in a certain direction. To back means either «to move backwards» or, in the figurative sense, «to support somebody or something».

IV. The name of a profession or occupation — an activity typical of it: to nurse, to cook, to maid, to groom.

V. The name of a place — the process of occupying» the place or of putting smth./smb. in it (to room, to house, to place, to table, to cage).

VI. The name of a container — the act of putting smth. within the container (to can, to bottle, to pocket).

VII. The name of a meal — the process of taking it (to lunch, to supper).

The suggested groups do not include all the great variety of verbs made from nouns by conversion. They just represent the most obvious cases and illustrate, convincingly enough, the great variety of semantic interrelations within so-called converted pairs and the complex nature of the logical associations which specify them.

In actual fact, these associations are not only complex but sometimes perplexing. It would seem that if you know that the verb formed from the name of an animal denotes behaviour typical of the animal, it would easy for you to guess the meaning of such a verb provided that you know the meaning of the noun. Yet, it is not always easy. Of course, the meaning of to fox is rather obvious being derived from the associated reputation of that animal for cunning: to fox means «to act cunningly or craftily». But what about to wolf? How is one to know which of the characteristics of the animal was picked by the speaker’s subconscious when this verb was produced? Ferocity? Loud and unpleasant fowling? The inclination to live in packs? Yet, as the Hollowing example shows, to wolf means «to eat greedily, voraciously»: Charlie went on wolfing the chocolate. (R. Dahl)

In the same way, from numerous characteristics of | be dog, only one was chosen for the verb to dog which is well illustrated by the following example:

And what of Charles? I pity any detective who would have to dog him through those twenty months.

(From The French Lieutenant’s Woman by J. Fowles)

(To dog — to follow or track like a dog, especially with hostile intent.)

The two verbs to ape and to monkey, which might be expected to mean more or less the same, have shared between themselves certain typical features of the same animal:

to ape — to imitate, mimic (e. g. He had always aped the gentleman in his clothes and manners. — J. Fowles);

to monkey — to fool, to act or play idly and foolishly. To monkey can also be used in the meaning «to imitate», but much rarer than to ape.

The following anecdote shows that the intricacies ex semantic associations in words made by conversion may prove somewhat bewildering even for some native-speakers, especially for children.

«Mother», said Johnny, «is it correct to say you ‘water a horse’ when he’s thirsty?»

«Yes, quite correct.»

«Then», (picking up a saucer) «I’m going to milk the cat.»

The joke is based on the child’s mistaken association of two apparently similar patterns: water, п. — to water, v.; milk, n. — to milk, v. But it turns out that the meanings of the two verbs arose from different associations: to water a horse means «to give him water», but to milk implies getting milk from an animal (e. g, to milk a cow).

Exercises

I. Consider your answers to the following.

1. What are the main ways of enriching the English vocabulary?

2. What are the principal productive ways of word-building in English?

3. What do we mean by derivation?

4. What is the difference between frequency and productivity of affixes? Why can’t one consider the noun-forming suffix -age, that is commonly met in many words (cabbage, village, marriage, etc.), a productive one?

5. Give examples of your own to show that affixes have meanings.

6. Look through Chapter 3 and say what languages served as the main sources of borrowed affixes. Illustrate your answer by examples.

7. Prove that the words a finger and to finger («to touch or handle with .the fingers») are two words and not the one word finger used either as a noun or as a verb.

8. What features of Modern English have produced the high productivity of conversion? и

9. Which categories of parts of speech are especially affected by conversion?

10. Prove that the pair of words love, n. and love, v. do not present a case of conversion.

II. The italicized words in the following jokes and extracts are formed by derivation. Write them out in two columns:

A. Those formed with the help of productive affixes.

B. Those formed with the help of non-productive affixes. Explain the etymology of each borrowed affix.

1. Willie was invited to a party, where refreshments were bountifully served.

«Won’t you have something more, Willie?» the hostess said.

«No, thank you,» replied Willie, with an expression of great satisfaction. «I’m full.»

«Well, then,» smiled the hostess, «put some delicious fruit and cakes in your pocket to eat on the way home.»

«No, thank you,» came the rather startling response of Willie, «they’re full too.»

2. The scene was a tiny wayside railway platform and the sun was going down behind the distant hills. It was a glorious sight. An intending passenger was chatting with one of the porters.

«Fine sight, the sun tipping the hills with gold,» said the poetic passenger.

«Yes,» reported the porter; «and to think that there was a time when I was often as lucky as them ‘ills.»

3. A lady who was a very uncertain driver stopped her car at traffic signals which were against her. As the green flashed on, her engine stalled, and when she restarted it the colour was again red. This flurried her so much that when green returned she again stalled her engine and the cars behind began to hoot. While she was waiting for the green the third time the constable on duty stepped across and with a smile said: «Those are the only colours, showing today, ma’am.»

4. «You have an admirable cook, yet you are always growling about her to your friends.»

«Do you suppose I want her lured away?»

5. Patient: Do you extract teeth painlessly?

Dentist: Not always — the other day I nearly dislocated my wrist.

6. The inspector was paying a hurried visit to a slightly overcrowded school.

«Any abnormal children in your class?» he inquired of one harassed-looking teacher.

«Yes,» she replied, with knitted brow, «two of them have good manners.»

7. «I’d like you to come right over,» a man phoned an undertaker, «and supervise the burial of my poor, departed wife.»

«Your wife!» gasped the undertaker. «Didn’t I bury her two years ago?»

«You don’t understand,» said the man. «You see I married again.»

«Oh,» said the undertaker. «Congratulations.»

8. Dear Daddy-Long-Legs.

Please forget about that dreadful letter I sent you last week — I was feeling terribly lonely and miserable and sore-throaty the night I wrote. I didn’t know it, but I was just coming down with tonsillitis and grippe …I’m |b the infirmary now, and have been for six days. The Head nurse is very bossy. She is tall and thinnish with a Hark face and the funniest smile. This is the first time they would let me sit up and have a pen or a pencil. please forgive me for being impertinent and ungrateful.

Yours with love.

Judy Abbott

(From Daddy-Long-Legs by J. Webster)1

9. The residence of Mr. Peter Pett, the well-known financier, on Riverside Drive, New York, is one of the leading eyesores of that breezy and expensive boulevard …Through the rich interior of this mansion Mr. Pett, its nominal proprietor, was wandering like a lost spirit. There was a look of exasperation on his usually patient face. He was afflicted by a sense of the pathos of his position. It was not as if he demanded much from life. At that moment all that he wanted was a quiet spot where he might read his Sunday paper in solitary peace and he could not find one. Intruders lurked behind every door. The place was congested. This sort of thing had been growing worse and worse ever since his marriage two years previously. Marriage had certainly complicated life for Mr. Pett, as it does for the man who waits fifty years before trying it. There was a strong literary virus in Mrs. Pett’s system. She not only wrote voluminously herself — but aimed at maintaining a salon… She gave shelter beneath her terra-cotta roof to no fewer than six young unrecognized geniuses. Six brilliant youths, mostly novelists who had not yet started…

(From Piccadilly Jim by P. G. Wodehouse. Abridged)

III. Write out from any five pages of the book you are reading examples which illustrate borrowed and native affixes in the tables in Ch. 3 and 5. Comment on their productivity.

IV. Explain the etymology and productivity of the affixes given below. Say what parts of speech can be formed with their help.

-ness, -ous, -ly, -y, -dom, -ish, -tion, -ed, -en, -ess, -or, -er, -hood, -less, -ate, -ing, -al, -ful, un-, re-, im (in)-, dis-, over-, ab-

V. Write out from the book yon are reading all the words with the adjective-forming suffix -ly and not less than 20 words with the homonymous adverb-forming suffix. Say what these suffixes have in common and in what way they are differentiated.

VI. Deduce the meanings of the following derivatives from the meanings of their constituents. Explain your deduction. What are the meanings of the affixes in the words under examination?

Reddish, ad].; overwrite, v.; irregular, adj.; illegals adj.; retype, v.; old-womanish, adj.; disrespectable, adj.; inexpensive, adj.; unladylike, adj.; disorganize, v.; renew, u.; eatable, adj.; overdress, u.; disinfection, п.; snobbish, adj.; handful, п.; tallish, adj.; sandy, adj.; breakable, adj.; underfed, adj.

VII. In the following examples the italicized words are formed from the same root by means of different affixes. Translate these derivatives into Russian and explain the Difference in meaning.

1. a) Sallie is the most amusing person in the world — and Julia Pendleton the least so. b) Ann was wary, but amused. 2. a) He had a charming smile, almost womanish in sweetness, b) I have kept up with you through Miss Pittypat but she gave me no information that you had developed womanly sweetness. 3. a) I have been having a delightful and entertaining conversation with my old chum, Lord Wisbeach. b) Thanks for your invitation. I’d be delighted to come. 4. a) Sally thinks everything is funny — even flunking — and Julia is bored at everything. She never makes the slightest effort to be pleasant, b) — Why are you going to America? — To make my fortune, I hope. — How pleased your father will be if you do. 5. a) Long before |he reached the brownstone house… the first fine careless rapture of his mad outbreak had passed from Jerry Mitchell, leaving nervous apprehension in its place. b) If your nephew has really succeeded in his experiments you should be awfully careful. 6. a) The trouble with college is that you are expected to know such a lot of things you’ve never learned. It’s very confusing at times. b) That platform was a confused mass of travellers, porters, baggage, trucks, boys with magazines, friends, relatives. 7. a) At last I decided that even this rather mannish efficient woman could do with a little help. b) He was only a boy not a man yet, but he spoke in a manly way. 8. a) The boy’s respectful manner changed noticeably. b) It may be a respectable occupation, but it Sounds rather criminal to me. 9. a) «Who is leading in the pennant race?» said this strange butler in a feverish whisper, b) It was an idea peculiarly suited to her temperament, an idea that she might have suggested her. self if she had thought of it …this idea of his fevered imagination. 10. Dear Daddy-Long-Legs. You only wanted to hear from me once a month, didn’t you? And I’ve been peppering you with letters every few days! But I’ve been so excited about all these new adventures that I must talk to somebody… Speaking of classics, have you ever read Hamlet? If you haven’t, do it right off. It’s perfectly exciting. I’ve been hearing about Shakespeare all my life but I had no idea he really wrote so well, I always suspected him of going largerly on his reputation. (J. Webster)1

VIII. Explain the difference between the meanings of the following words produced from the same root by means of different affixes. Translate the words into Russian.

Watery — waterish, embarrassed — embarrassing. manly — mannish, colourful — coloured, distressed — distressing, respected — respectful — respectable, exhaustive — exhausting — exhausted, bored — boring, touchy — touched — touching.

IX. Find eases of conversion in the following sentences.

1. The clerk was eyeing him expectantly. 2. Under the cover of that protective din he was able to toy with a steaming dish which his waiter had brought. 3. An aggressive man battled his way to Stout’s side. 4. Just a few yards from the front door of the bar there was an elderly woman comfortably seated on a chair, holding a hose linked to a tap and watering the pavement. 5. — What are you doing here? — I’m tidying your room. 6. My seat was in the middle of a row. I could not leave without inconveniencing a great many people, so I remained. 7. How on earth do you remember to milk the cows and give pigs their dinner? 8. In a few minutes Papa stalked off, correctly booted and well mufflered. 9. «Then it’s practically impossible to steal any diamonds?» asked Mrs. Blair with as keen an air of disappointment as though she had been journeying there for the express purpose. 10. Ten minutes later I was Speeding along in the direction of Cape Town. 11. Restaurants in all large cities have their ups and 33owns. 12. The upshot seemed to be that I was left to Пасе life with the sum of £ 87 17s 4d. 13. «A man could Hie very happy in a house like this if he didn’t have to poison his days with work,» said Jimmy. 14. I often heard that fellows after some great shock or loss have a habit, after they’ve been on the floor for a while wondering what hit them, of picking themselves up and piecing themselves together.

X. One of the italicized words in the following examples |!was made from the other by conversion. What semantic correlations exist between them?

1. a) «You’ve got a funny nose,» he added, b) He began to nose about. He pulled out drawer after drawer, pottering round like an old bloodhound. 2. a) I’d seen so many cases of fellows who had become perfect slaves |of their valets, b) I supposed that while he had been valeting old Worplesdon Florence must have trodden on this toes in some way. 3. a) It so happened that the night before I had been present at a rather cheery little supper. b) So the next night I took him along to supper with me. 4. a) Buck seized Thorton’s hand in his teeth. |Ь) The desk clerk handed me the key. 5. a) A small hairy object sprang from a basket and stood yapping in ;the middle of the room. b) There are advantages, you see, about rooming with Julia. 6. a) «I’m engaged for lunch, but I’ve plenty of time.» b) There was a time when he and I had been lads about town together, lunching and dining together practically every day. 7. a) Mr. Biffen rang up on the telephone while you were in your bath. b) I found Muriel singer there, sitting by herself at a table near the door. Corky, I took it, was out telephoning. 8. Use small nails and nail the picture on the wall. 9. a) I could just see that he was waving a letter or something equally foul in my face. b) When the bell stopped. Crane turned around and faced the students seated in rows before him. 10. a) Lizzie is a good cook. b) She cooks the meals in Mr. Priestley’s house. 11. a) The wolf was suspicious and afraid, b) Fortunately, however, the second course consisted of a chicken fricassee of such outstanding excellence that the old boy, after wolfing a plateful, handed up his dinner-pail for a second installment and became almost genial. 12. Use the big hammer for those nails and hammer them in well. 13. a) «Put a ribbon round your hair and be Alice-in-Wonderland,» said Maxim. «You look like it now with your finger in your mouth.» b) The coach fingered the papers on his desk and squinted through his bifocals. 14. a) The room was airy but small. There were, however, a few vacant spots, and in these had been placed a washstand, a chest of drawers and a midget rocker-chair, b) «Well, when I got to New York it looked a decent sort of place to me …» 15. a) These men wanted dog’s, and the dogs they wanted were heavy dogs, with strong muscles… and furry coats to protect them from the frost. b) «Jeeves,» I said, «I have begun to feel absolutely haunted. This woman dog’s me.»

XI. Explain the semantic correlations within the following pairs of words.

Shelter — to shelter, park — to park, groom — to groom, elbow — to elbow, breakfast — to breakfast, pin — to pin, trap — to trap, fish — to fish, head — to head, nurse — to nurse.

XII. Which of the two words in the following pairs is made by conversion? Deduce the meanings and use them in constructing sentences of your own.

star, n. — to star, v.

picture, n. — to picture, v.

colour, n. — to colour, v.

blush, n. — to blush, v.

key, n. — to key, v.

fool, n. — to fool, v.

breakfast, n. — to breakfast, v.

house, n. — to house, v.

monkey, n. — to monkey, v.

fork, n. — to fork, v.

slice, n. — to slice, v.

age, n. — to age, v.

touch, n. — to touch, v.

make, n. — to make, v.

finger, n. — to finger, v.

empty, adj. — to empty, v.

poor, adj. — the poor, n.

pale, adj. — to pale, v.

dry, adj. — to dry, v.

nurse, n. — to nurse, v.

dress, n. — to dress, v.

floor, n. — to floor, v.

XIII. Read the following joke, explain the type of word-building in the italicized words and say everything you can about the way they were made.

A successful old lawyer tells the following story about the beginning of his professional life:

«I had just installed myself in my office, had put in a phone, when, through the glass of my door I saw a shadow. It was doubtless my first client to see me. Picture me, then, grabbing the nice, shiny receiver of my new phone and plunging into an imaginary conversation. It ran something like this:

‘Yes, Mr. S!’ I was saying as the stranger entered the office. ‘I’ll attend to that corporation matter for you. Mr. J. had me on the phone this morning and wanted me to settle a damage suit, but I had to put him off, as I was too busy with other cases. But I’ll manage to sandwich your case in between the others somehow. Yes. Yes. All right. Goodbye.’

Being sure, then, that I had duly impressed my prospective client, I hung up the receiver and turned to him.

‘Excuse me, sir,’ the man said, ‘but I’m from the telephone company. I’ve come to connect your instrument.'»

Vocabulary is tested in many ways on the GRE. During the Verbal section, your knowledge of vocabulary will be directly tested with Sentence Equivalence, Text Completion, and Reading Comprehension questions. 
Many students find GRE Verbal to be one of the most challenging sections on the test because of the breadth of vocabulary tested. Good old fashioned memorization can be an effective strategy, but it’s time-consuming and may not be the most efficient course of action, especially if you only have a month or two until your GRE test date.
[ RELATED: How to Study for the GRE in Two Months ]
Knowing word roots can help you in two major ways on the GRE. First, instead of learning one word at a time, you can learn a whole group of words that contain a certain root. They’ll be related in meaning, so if you remember one, it will be easier for you to remember others. Second, roots can often help you decode an unknown GRE word. If you recognize a familiar root, you could get a good enough grasp of the word to answer the question. 
Keep reading for a list of word roots that will give you the component parts of many typical GRE vocabulary words. This list is a starting point and a quick review, not an exhaustive guide (though it is lengthy!). Roots are given in their most common forms, with their most common or broadest definitions; often, other forms and meanings exist. Similarly, the definitions for the words given as examples may be incomplete, and other senes of those words may exist. To boost your GRE Verbal prep, get in the habit of looking up unfamiliar words in a good, current dictionary—whether on paper or on the Internet—and be sure to check their etymologies while you’re there.  
[  RELATED: Top 52 GRE Vocabulary Words ]

GRE Vocabulary: Kaplan’s Root List

A

A/AN: not, without
agnostic: one who believes the existence of God is not provable
amoral: neither moral nor immoral; having no relation to morality
atrophy: the wasting away of body tissue
 
AB: off, away from, apart, down
abdicate: to renounce or relinquish a throne
abject: cast down; degraded
abstract: conceived apart from concrete realities, specific objects, or actual instances
abstruse: hard to understand; secret, hidden

 
ABLE/IBLE: capable of, worthy of
changeable: able to be changed
combustible: capable of being burned; easily inflamed 
 
AC/ACR: sharp, bitter, sour
acerbic: sour or astringent in taste; harsh in temper
acid: something that is sharp, sour, or ill-natured
acrimonious: caustic, stinging, or bitter in nature
acumen: mental sharpness; quickness of wit
 
ACT/AG: to do, to drive, to force, to lead
agile: quick and well-coordinated in movement; active, lively
pedagogue: a teacher

 
AD: to, toward, near (often the d is dropped and the first letter to which a is prefixed is doubled.)
accede: to yield to demand; to enter office
addict: to give oneself over, as to a habit or pursuit
adjoin: to be close or in contact with
 
AL/ALI/ALTER: other, another
alias: an assumed name
allegory: figurative treatment of one subject under the guise of another
altruist: a person unselfishly concerned for the welfare of others
 
AM: love
amateur: a person who engages in an activity for pleasure rather than financial or professional gain
amity: friendship; peaceful harmony
amorous: inclined to love, esp. sexual love
 
AMBI/AMPHI: both, on both sides, around
ambidextrous: able to use both hands equally well
ambient: moving around freely; circulating
ambiguous: open to various interpretations
 
AMBL/ABUL: to go, to walk
ambulance: a vehicle equipped for carrying sick people (from a phrase meaning “walking hospital”)
ambulatory: of, pertaining to, or capable of walking
perambulator: one who makes a tour of inspection on foot
 
ANIM: of the life, mind, soul, breath
animosity: a feeling of ill will or enmity
equanimity: mental or emotional stability, especially under tension
magnanimous: generous in forgiving an insult or injury
 
ANNUI/ENNI: year
annals: a record of events, esp. a yearly record
annual: of, for, or pertaining to a year; yearly
perennial: lasting for an indefinite amount of time
 
ANT/ANTE: before
antecedent: existing, being, or going before
antedate: precede in time
antediluvian: belonging to the period before the biblical flood; very old or old-fashioned
 
ANTRHO/ANDR: man, human
androgen: any substance that promotes masculine characteristics
androgynous: being both male and female
misanthrope: a person who hates humans or humanity
 
APO: away
apocalypse: revelation; discovery; disclosure
apogee: the highest or most distant point
apostasy: a total desertion of one’s religion, principles, party, cause, etc. 
 
ARCH/ARCHI/ARCHY: chief, principal, ruler
anarchy: a state or society without government or law
monarchy: a government in which the supreme power is lodged in a sovereign
oligarchy: a state or society ruled by a select group
 
ARD: to burn
ardent: burning; fierce; passionate
ardor: flame; passion
arson: the crime of setting property on fire
 
AUTO: self
autonomy: independence or freedom
autocrat: an absolute ruler

B

BE: about, to make, to surround, to affect (often used to transform words into transitive verbs)
belie: to misrepresent; to contradict
belittle: to make small; to make something appear smaller
bemoan: to lament; to moan for
 
BEL/BELL: beautiful
belle: a beautiful woman
embellish: to make beautiful; to ornament
 
BEN/BENE: good
benediction: act of uttering a blessing
benefit: anything advantageous to a person or thing
benign: having a kindly disposition 
 
BI/BIN: two
biennial: happening every two years
bilingual: able to speak one’s native language and another with equal facility
binocular: involving two eyes
 
BON/BOUN: good, generous
bona fide: in good faith; without fraud
bountiful: generous
 
BREV/BRID: short, small
abbreviate: to shorten
breviloquent: laconic; concise in one’s speech
brevity: shortness
 
BURS: purse, money
bursar: treasurer
bursary: treasury
disburse: to pay

C

CAD/CID: to fall, to happen by chance
cascade: a waterfall descending over a steep surface
coincidence: a striking occurrence of two or more events at one time, apparently by chance
recidivist: one who repeatedly relapses, as into crime
 
CAP/CIP/CEPT: to take, to get
capture: to take by force or stratagem
percipient: having perception; discerning; discriminating 
precept: a commandment or direction given as a rule of conduct
 
CAP/CAPIT/CIPIT: to head, headlong
capital: the city or town that is the official seat of government 
capitulate: to surrender unconditionally or on stipulated terms
precipice: a cliff with a vertical face
 
CARD/CORD/COUR: heart
concord: agreement; peace, amity
concordance: agreement, concord, harmony
discord: lack of harmony between persons or things
 
CED/CEED/CESS: to go, to yield, to stop
accede: to yield to a demand; to enter office
cessation: a temporary or complete discontinuance
incessant: without stop
 
CELER: speed
accelerant: something used to speed up a process
celerity: speed; quickness
 
CERN/CERT/CRET/CRIM/CRIT: to separate, to judge, to distinguish, to decide
certitude: freedom from doubt
discrete: detached from others, separate
hypocrite: a person who pretends to have beliefs that she does not
 
CHROM: color
chromatic: having to do with color
chromosome: genetic material that can be studied by coloring it with dyes
 
CHRON: time
anachronism: something that is out-of-date or belonging to the wrong time
chronic: constant, habitual
chronometer: a highly accurate clock or watch
 
CIRCU/CIRCUM: around
circuitous: roundabout, indirect
circumspect: cautious; watching all sides
 
CIS: to cut
exorcise: to seek to expel an evil spirit by ceremony
incisive: penetrating, cutting 
 
CLA/CLO/CLU: to shut, to close
claustrophobia: an abnormal fear of enclosed places
cloister: a courtyard bordered with covered walks, esp. in a religious institution
preclude: to prevent the  presence, existence, or occurrence of
 
CLAIM/CLAM: to shout, to cry out
clamor: a loud uproar
disclaim: to deny interest in or connection with
proclaim: to announce or declare in an official way
 
CLI: to lean toward
climax: the most intense point in the development of something
disinclination: aversion, distaste
Proclivity: inclination, bias
 
CO/COL/COM/CON: with, together
commensurate: suitable in measure, proportionate
conciliate: to placate, win over
connect: to bind or fasten together
 
CONTRA/CONTRO/COUNTER: against
contrary: opposed to; opposite
countermand: to retract an order
 
CORP/CORS: body
corps: a body (an organized group) of troops
corpulent: obese; having a lot of flesh
incorporation: combining into a single body
 
COSM: order, universe, world
cosmology: a theory of the universe as a whole 
cosmopolitan: worldly
microcosm: a small system that reflects a larger whole
 
COUR/CUR: running, a course
concur: to agree
cursory: going rapidly over something; hasty; superficial
incursion: a hostile entrance into a place, esp. suddenly 
 
CER/CRESC/CRET: to grow
accretion: an increase by natural growth
accrue: to be added a matter of periodic gain
excrescence: an outgrowth
 
CRED: to believe, to trust
credo: any formula of belief
credulity: willingness to believe or trust too readily
 
CULP: fault, blame
culpable: deserving blame or censure
inculpate: to charge with fault
mea culpa: through my fault; my fault

D

DAC/DOC: to teach
didactic: intended for instruction
indoctrinate: to imbue a person with learning
 
DE: away, off, down, completely, reversal
defame: to attack the good name or reputation of
deferential: respectful; to yield to judgment
defile: to make foul, dirty, or unclean
 
DEM: people
democracy: government by the people
endemic: peculiar to a particular person or locality
pandemic: general, universal
 
DI: day
diurnal: daily
quotidian: everyday; ordinary
 
DI/DIF/DIS: away from, apart, reversal, not
diffuse: to pour out and spread, as in a fluid
dilatory: inclined to delay or procrastinate
dissipate: to scatter wastefully
 
DIGN: worth
condign: well deserved; fitting; adequate
dignitary: a person who holds a high rank or office
disdain:  to look upon or treat with contempt
 
DOL: to suffer, to pain, to grieve
doleful: sorrowful, mournful 
dolorous: full of pain or sorrow, grievous
indolence: a state of being lazy or slothful
 
DUB: doubt
dubiety: doubtfulness
dubious: doubtful
indubitable: unquestionable 
 
DULC: sweet
dulcet: sweet; pleasing
dulcified: sweetened; softened
dulcimer: a musical instrument
 
DYS: faulty, abnormal
dysfunctional: poorly functioning
dyspepsia: impaired digestion
dystrophy: faulty or inadequate nutrition or development

E

E/EX: out, out of, from, former, completely
efface: to rub or wipe out; surpass, eclipse
extricate: to disentangle, release
 
EPI: upon
epidermis: the outer layer of the skin
epigram: a witty or pointed saying tersely expressed
epilogue: a concluding part added to a literary word
 
EQU: equal, even
equation: the act of making equal
iniquity: gross injustice; wickedness
 
ERR: to wander
errant: wandering or traveling, especially in search of adventure
erratic: deviating from the proper or usual course in conduct
 
ESCE: becoming
convalescent: recovering from illness
obsolescent: becoming obsolete
 
EU: good, well
euphemism: pleasant-sounding term for something unpleasant
euphony: pleasantness of sound

F

FAB/FAM: to speak
affable: friendly, courteous
defame: to attack the good name of 
ineffable: too great for description in words; that which much not be uttered
 
FATU: foolish
fatuity: foolishness; stupidity
fatuous: foolish; stupid
infatuated: swept up in a fit of passion impairing one’s reason
 
FI/FID: faith, trust
affidavit: a written statement on oath
fiduciary: of a trust; held or given in trust
infidel: disbeliever in the supposed true religion
 
FLU/FLUX: to flow
confluence: merging into one
effluence: flowing out of (light, electricity, etc.)
mellifluous: pleasing, musical
 
FULG: to shine
effulgent: shining forth 
refulgent: radiant; shining
 
FUS: to pour
diffuse: to spread widely or thinly
profuse: lavish, extravagant, copious
suffuse: to spread throughout or over from within

G

GEN: birth, creation, race, kind
congenital: existing or as such from birth 
progeny: offspring, descendants 
 
GNI/GNO: to know
ignoramus: a person lacking knowledge, uninformed
prognosis: to forecast, especially of disease
 
GRAT: pleasing
gratuity: money given for good service
ingratiate: to bring oneself into favor
 
GREG: flog
aggregate: a number of things considered a collective whole
egregious: remarkably bad; standing out from the crowd
gregarious: sociable; enjoying spending time with others

H

HAP: by chance
haphazard: at random
hapless: without luck
 
HER/HES: to stick
adherent: able to adhere; believer or advocate of a particular thing
coherent: logically consistent; having waves in phase and of one wavelength
inherent: involved in the constitution or essential character of something
 
HOL: whole
catholic: universal
holograph: a document written entirely by the person whose name it’s in
holistic: considering something as a unified whole
 
HYPER: over, excessive
hyperactive: excessively active
hyperbole: purposeful exaggeration for effect
 
HYPO: under, beneath, less than
hypochondriac: one affected by extreme depression of mind or spirits, often centered on imaginary physical ailments 
hypocritical: pretending to have beliefs one does not
hypodermic: relating to the parts beneath the skin

I

ICON: image, idol
iconic: being representative of a culture or movement
iconoclast: one who attacks established beliefs; one who tears down images
iconology: symbolism
 
IN/IM: in, into (often the m is dropped and the first letter to which i is prefixed is doubled)
incarnate: given a bodily, esp. a human, form
influx: the act of flowing in 
intrinsic: belonging to a thing by its very nature
 
IN/IM: not, without
indigent: poor, needy, lacking in what is needed
indolence: showing a disposition to avoid exertion; slothful
innocuous: not harmful or injurious

J

JECT: to throw, to throw down
abject: utterly hopeless, humiliating, or wretched
conjecture: formation of opinion on incomplete information
eject: to throw out, expel
 
JOC: joke
jocose: given to joking; playful
jocular: in a joking manner; funny
jocund: merry; cheerful
 
JUD: to judge
abjudicate: to act as a judge
judicious: having good judgment
 
JUR: law, to swear
abjure: to renounce an oath
adjure: to beg or command
perjury: willful lying under oath

L

LAUD: praise, honor
laudable: praiseworthy
laudatory: expressing praise
 
LAV/LAU/LU: to wash
ablution: act of cleansing
antediluvian: before the biblical flood; extremely old
deluge: a great flood of water
 
LEC/LEG/LEX: to read, to speak
legible: readable
lexicographer: a writer of dictionaries
lexicon: a dictionary
 
LECT/LEG: to select, to choose
eclectic: selecting ideas, etc. from various sources
predilection: preference, liking
 
LI/LIG: to tie, to bind
liable: legally responsible; bound by law
lien: the right to hold a property due to an outstanding debt
ligature: a connection between two letters; a bond
 
LIBER: free
liberality: generosity
libertine: one who follows one’s own path, without regard for morals or other restrictions
 
LITH: stone
acrolith: a statue with a stone head and limbs (but a wooden body)
lithography: a printing process that originally involved writing on a flat stone
lithology: the study of rocks and stones
megalith: a very big stone
 
LOC/LOG/LOQU: word, speech, though
colloquial: of ordinary or familiar conversation
elocution: art of clear and expressive speaking
grandiloquent: pompous or inflated in language
loquacious: talkative
 
LUD/LUS: to play
allude: to refer casually or indirectly
delude: to mislead the mind or judgment of, deceive
elude: to avoid capture or escape defection by

M

MACRO: great, long
macrobiotics: a system intended to prolong life
macrocephalous: having a large head
macrocosm: the universe; a large system that is reflected in at least one of its subsets 
 
MAG/MAJ/MAX: big, great
magnanimous: generous in forgiving an insult or injury
magnate: a powerful or influential person
maxim: an expression of general truth or principle 
 
MAL/MALE: bad, ill, evil, wrong
maladroit: clumsy; tactless
malapropism: humorous misuse of a word
malfeasance: a misconduct or wrongdoing often committed by a public official
malign: to speak harmful untruths about, to slander
 
MEGA: large, great
megapolis: a very large city
megaton: explosive power equal to 1000 tons of TNT
 
MICRO: very small
microbe: a very small organism
micron: a millionth of a meter
 
MIN: small
diminution: the act or process of diminishing
minutiae: small or trivial details
 
MIS: bad, wrong, to hate
misadventure: bad luck; an unlucky accident
misanthrope: one who hates people or humanity
mischance: bad luck; an unlucky accident
 
MIS/MIT: to send
emissary: a messenger or agent sent to represent the interests of another
remit: to send money
 
MOLL: soft
emollient: something that softens or soothes (e.g., a lotion)
mollify: sooth; soften; calm
 
MON/MONIT: to remind, to warn
admonish: to counsel against something; caution
premonition: forewarning, presentiment
remonstrate: to say or please in protest, object, or reproof
 
MON/MONO: one
monarchy: rule by a single person
monograph: a scholarly study of a single subject
monomania: an obsession with a single subject
 
MOR/MORT: death
immortal: not subject to death
moribund: dying, decaying
 
MORPH: shape
amorphous: without definite form; lacking a specific shape
anthropomorphism: attribution of human characteristics to inanimate objects, animals, or natural phenomena 
 
MULT: many
multiplex: having many parts
multitudinous: very many; containing very many; having very many forms
 
MUT: to change
commute: to substitute; exchange; interchange
immutable: unchangeable, invariable

N

NAT/NAS/NAI/GNA: birth
cognate: related by blood; having a common ancestor
nascent: starting to develop
 
NIHIL: nothing, none
annihilate: wipe out; reduce to nothing
nihilism: denial of all moral beliefs; denial that existence has any meaning
 
NOC/NOX: harm
innocuous: not harmful or injurious
noxious: injurious or harmful to health or morals
 
NOCT/NOX: night
noctambulant: walking at night; sleepwalking
nocturne: a dreamlike piece of music; a painting set at night
 
NOM/NYM/NOUN/NOWN: name
nomenclature: a system of names; systematic naming
nominal: existing in name only; negligible 
renown: fame; reputation
 
NON: not
nonentity: something that doesn’t exist; something that isn’t important
nonpareil: something with no equal
 
NOV/NEO/NOU: new
neologism: a newly coined word, phrase, or expression
neophyte: a beginner; a new convert; a new worker
neoplasm: a new growth in the body; a tumor

O

OB: toward, to, against, over
obfuscate: to render indistinct or dim; darken
obsequious: overly submissive
obstinate: stubbornly adhering to an idea, inflexible
obstreperous: noisily defiant, unruly
 
OMNI: all
omnibus: an anthology of the works of one author or of writings on related subjects
omnipotent: all powerful
omnipresent: everywhere at one time
 
ONER: burden
onerous: burdensome; difficult
onus: a burden; a responsibility

P

PAC/PEAC: peace
appease: to bring peace to
pacify: to ease the anger or agitation of
 
PALP: to feel
palpable: capable of being felt; tangible
palpate: to feel; to examine by feeling
palpitate: to beat quickly, as the heart; to throb 
 
PAN/PANT: all, everyone
panegyric: formal or elaborate praise at an assembly
panoply: a wide-ranging and impressive array or display

 
PAR: equal
disparage: to belittle, speak disrespectfully about
parity: equally, as in amount, status, or character
 
PARA: next to, beside
paragon: a model of excellence
parody: to imitate for purpose of satire
 
PAU/PO/POV/PU: few, little, poor
paucity: smallness of quantity; scarcity; scantiness
pauper: a person without any personal means of support
puerile: childish, immature
pusillanimous: lacking courage or resolution
 
PEC: money
impecunious: having no money; penniless
peculation: embezzlement
pecuniary: relating to money
 
PED/POD: foot
antipodes: places that are diametrically opposite each other on the globe
impede: to retard progress by means of obstacles or hindrances
 
PEL: to drive, to push
dispel: to drive away; to disperse
impel: to force; to drive forward
 
PER: completely
perforate: to make a way through or into something 
perfunctory: performed merely as routine duty
pertinacious: resolute, persistent
 
PET/PIT: to go, to seek, to strive
impetuous: characterized by sudden or rash action or emotion
petulant: showing sudden irritation, esp. over some annoyance
 
PHIL: love
bibliophile: one who loves or collects books
philatelist: one who loves or collets postage stamps
 
PHON: sound
euphony: the quality of sounding good
polyphony: the use of simultaneous melodic lines to produce harmonies in musical compositions
 
PLAC: to please
complacent: self-satisfied, unconcerned
complaisant: inclined or disposed to please
implacable: unable to be pleased
 
POLY: many
polyandry: the practice of having multiple husbands 
polyglot: someone who speaks many languages
 
POT: to drink
potable: drinkable; safe to drink; a drink
potation: drinking; a drink
 
PRI/PRIM: first
primal: original; most important
primeval: ancient; going back to the first age of the world
 
PROB: to prove, to test
approbation: praise, consideration
opprobrium: the disgrace incurred by shameful conduct
probity: honesty, high-mindedness
 
PROP/PROX: near
proximate: nearby; coming just before or just after
proximity: nearness; distance
 
PROT/PROTO: first
protagonist: the main character in a play or story
prototype: the first version of an invention, on which later models are based
 
PUG: to fight
impugn: to challenge as false
pugilist: a fighter or boxer
pugnacious: to quarrel or fight repeatedly
 
PUNC/PUNG/POIGN: to point, to prick, to pierce
compunction: a feeling of uneasiness for doing wrong
expunge: to erase, eliminate completely
punctilious: strict or exact in the observance of formalities
 
PYR: fire
pyre: a bonfire, usually for burning a dead body
pyrosis: heartburn

Q

QUAD/QUAR/QUAT: four
quadrille: a square dance involving four couples
quart: one-fourth of a gallon
 
QUIE/QUIT: quiet, rest
acquiesce: to comply, give in 
quiescence: the condition of being at rest, still, inactive
 
QUIN/QUINT: five
quinquennial: a five-year period
quintuple: five times as many

R

RACI/RADI: root
deracinate: to uproot
radish: a root vegetable
 
RAMI: branch
ramiform: branchlike
 
RECT: straight, right
erect: upright; starting up straight
rectitude: moral uprightness; moral straightness
 
REG: king, rule
interregnum: a period between kings 
regent: one who serves on behalf of a king; one who rules
regicide: killing a king; one who kills a king
 
RETRO: backward
retroactive: extending to things that happened in the past
retrofit: to install newer parts into an older device or structure
 
RUB/RUD: red
rubella: German measles; a disease marked by red spots
rubicund: reddish; rosy-cheeked
 
RUD: crude
rude: uncivilized; impolite
rudimentary: undeveloped

S

SACR/SANCT: holy
sacrament: something regarded as possessing sacred character
sacrilege: the violation of anything sacred
sanctify: to make holy
 
SAG/SAP/SAV: taste, thinking, discerning
sagacious: perceptive; discerning; insightful
sage: wise
sapient: wise
savant: a learned person
 
SAL/SIL/SAULT/SULT: to leap, to jump
assault: a sudden or violent attack
exult: to show or feel triumphant joy
 
SALU: health
salubrious: healthful
salutary: healthful
 
SALV: to save
salvage: to save; something saved or recovered
salvation: being saved
savior: one who saves
 
SAN: healthy
sane: mentally healthy
sanitarium: a place of healing
 
SANG: blood
consanguinity: being related by blood
sanguinary: bloody; bloodthirsty
 
SAT: enough
dissatisfied: feeling that one does not have enough
sate: to fill
saturate: to fill completely; to entirely satisfy
 
SCI: to know
conscience: the inner sense of what is right or wrong, impelling one toward right action
omniscient: knowing everything
prescient: having knowledge of things before they happen
 
SE: apart, away
secede: to withdraw formally from an association
sedition: incitement of discontent or rebellion against a government
 
SEC/SEQU/SUE/SUI: to follow
non sequitur: an inference or a conclusion that does not follow from the premises
obsequious: fawning
 
SED/SESS/SID: to sit, to settle
assiduous: diligent, persistent, hardworking (literally, “sitting down” to business)
insidious: intended to entrap or beguile; lying in wait to entrap
 
SEMI: half
semicircle: half a circle
semiconscious: only partly conscious; half awake
 
SEN: old
senate: the highest legislative body (from “council of elders”)
senescent: getting old
senile: relating to old age; experiencing memory loss or other age-related mental impairments
 
SENS/SENT: to feel, to be aware
dissent: to differ in opinion, esp. from the majority
insensate: without feeling or sensitivity
presentiment: a feeling that something is about to happen
 
SOL: alone
desolate: deserted; laid waste; left alone
isolate: to set apart from others
soliloquize: talk to oneself; talk onstage as if to oneself
solipsism: the belief that the only thing that really exists, or can really be known, is oneself
 
SOL: to loosen, to free
absolution: forgiveness for wrongdoing
dissolute: indifferent to moral restraints
 
SOL: sun
parasol: an umbrella that protects from the sun
solarium: a sunroom; a room with windows for taking in the sun
 
SOMN: sleep
somnambulist: a sleepwalker
somniferous: sleep-inducing
somniloquist: one who talks while asleep
somnolent: sleep-inducing; sleepy; drowsy
 
SOPH: wisdom
philosopher: one who studies logic, beauty, truth, etc.; one who seeks wisdom
sophisticated: complex; worldly; experienced
 
SOURC/SURG/SURRECT: to rise
insurgent: rising up in revolution; rushing in
insurrection: rising up in armed rebellion
surge: to rise up forcefully, as ocean waves
 
SPEC/SPIC: to look, to see
circumspect: watchful and discreet, cautious
conspicuous: easily seen or noticed; readily observable
specious: deceptively attractive
 
SUA: sweet, pleasing, to urge
assuage: to make less severe, ease, relieve
suave: smoothly agreeable or polite; sweet
 
SUB/SUP: below, under
subliminal: existing or operating below the threshold of consciousness
subsidiary: serving to assist or supplement
suppose: to put down as a hypothesis; to use as the underlying basis of an argument; to assume
 
SUMM: highest, total
consummate: highly qualified; complete; perfect
summit: highest point
 
SUPER/SUR: over, above
supercilious: arrogant, haughty, condescending
superfluous: extra, more than necessary
 
SYM/SYN: together
symbiosis: living together in a mutually beneficial relationship
symposium: a meeting at which ideas are discussed

T

TAC/TIC: to be silent
reticent: disposed to be silent or not to speak freely
tacit: unspoken understanding
taciturn: uncommunicative
 
TEND/TENS/TENT/TENU: to stretch, to thin
attenuate: to weaken or reduce in force
extenuating: making less serious by offering excuses
 
THEO: god
apotheosis: glorification, glorified ideal
theocracy: a form of government in which a deity is recognized as the supreme ruler
 
THERM: heat
thermal: relating to heat; retaining heat
thermonuclear: relating to a nuclear reaction that takes place at high temperatures
 
TOR/TORQ/TORT: to twist
contort: to twist; to distort
distort: to pull out of shape, often by twisting; to twist or misrepresent facts 
extort: to wring money, property, or services out of somebody using threats or force
 
TORP: stiff, numb
torpid: numbed; sluggish
torpor: numbness; listlessness; apathy
 
TOX: poison
antitoxin: an antibody that counteracts a given poison
toxic: poisonous
 
TRANS: across, beyond
intransigent: refusing to agree or compromise
transcendent: going beyond ordinary limits
transgress: to violate a law, command, or moral code

U

ULT: last, beyond
penultimate: second-to-last 
ulterior: beyond what is immediately present; future; beyond what is stated; hidden
ultimate: last; final
 
UMBR: shadow
adumbrate: to foreshadow; to sketch; to overshadow
penumbra: a shaded area between pure shadow and pure light
umbrage: shade; shadow; displeasure; resentment
 
UN: not
unseen: not seen
unusual: not usual; exceptional; strange
 
UND: wave
abound: to be plentiful; to overflow (from water flowing in waves)
inundate: to flood
undulate: to move in a wavelike way
 
UNI/UN: one
unanimous: of one mind; incomplete accord
uniform: of one kind; consistent
 
US/UT: to use
abuse: to use wrongly or improperly
usurp: to seize and hold
utilitarian: efficient, functional, useful

VAIL/VAL: strength, use, worth
ambivalent: being caught between contradictory feelings of equal power or worth
avail: to have force; to be useful; to be of value
convalescent: recovering strength; healing
 
VEN/VENT: to come or to move toward
adventitious: accidental contravene: to come into conflict with
convene: to assemble for some public purpose
 
VER: truth
aver: to affirm, to declare to be true
veracious: habitually truthful
verisimilitude: the appearance or semblance of truth
 
VERB: word
proverb: an adage; a byword; a short, commonly known saying
verbatim: exactly as stated; word-for-word
verbiage: excessive use of words; diction
 
VERD: green
verdant: green with vegetation; inexperienced
verdure: fresh, rich vegetation
 
VI: life
convivial: sociable
viable: capable of living
vivacity: the quality of being lively, animated, spirited
 
VIL: base, mean
revile: to criticize with harsh language
vile: loathsome, unpleasant
vilify: to slander, to defame
 
VIRU: poison
virulent: acrimonious; very bitter; very poisonous
viruliferous: containing a virus
 
VOC/VOK: call, word
advocate: to support or urge by argument
convoke: to call together
vocabulary: the stock of words used by or known to a particular person or group
vociferous: crying out noisily
 
VOL: wish
benevolent: characterized by or expressing goodwill
malevolent: characterized by or expressing bad will
volition: free choice, free will; act of choosing
 
VOLU/VOLV: to roll, to turn
convolution: a twisting or folding
voluble: easily turning; fluent; changeable
 
VOR: to eat
carnivorous: meat-eating
omnivorous: eating or absorbing everything
voracious: having a great appetite

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Which of the following equations has a root in common with x^2 — 6x +
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05 Feb 2011, 23:47

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Which of the following equations has a root in common with (x^2 — 6x + 5 = 0)?

A. (x^2 + 1 = 0)

B. (x^2 — x — 2 = 0)

C. (2x^2 — 2 = 0)

D. (x^2 — 2x — 3 = 0)

E. (x^2 — 10x — 5 = 0)

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Manager

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Joined: 29 Oct 2011

Posts: 120

Concentration: General Management, Technology

GPA: 3.76


Re: Which of the following equations has a root in common with x^2 — 6x +
[#permalink]



New post 
14 Nov 2011, 08:53

Easy question. (x^2 — 6x + 5 = 0) factors into ((x-1)(x-5)=0). Thus, roots are x=1 and x=5.

Do the same for each option:

A. (x^2 + 1 = 0)
(x^2 = -1)
roots are imaginary

B. (x^2 — x — 2 = 0)
((x-2)(x+1) = 0)
roots are x=2 and x=-1
none match question

C. (2x^2 — 2 = 0)
(2(x^2-1)=0)
((x^2-1) = 0)
((x-1)(x+1) = 0)
roots are x=1 and x=-1
x=1 matches the root of original equation

No need to do the rest, we have our answer. However, if you have lots of time you may want to do them anyway to make sure you didn’t make a mistake above. You’ll know you made a mistake somewhere if any of the questions below also yield a root in common.

D. (x^2 — 2x — 3 = 0)
((x-3)(x+1) = 0)
roots are x=3 and x=-1, no roots in common

E. (x^2 — 10x — 5 = 0)
doesn’t factor into integers, no roots in common

Kudos if you like the explanation and/or nice formatting.

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Retired Moderator

Joined: 20 Dec 2010

Posts: 1167


Re: Which of the following equations has a root in common with x^2 — 6x +
[#permalink]



New post 
06 Feb 2011, 01:38

x^2-6x+5=0
(x-1)(x-5)=0
roots are 1 and 5.

Substitute these roots in all the equations;

1.x^2+1=0
x=1; 1^2+1=1+1=2!=0. Not a root.
x=5; 5^2+1=25+1=26!=0. Not a root.

2.x^2-x-2=0
x=1; 1^2-1-2=-2!=0. Not a root.
x=5; 5^2-5-2=25-7=18!=0. Not a root.

3.x^2-10x-5=0
x=1; 1^2-10*1-5=-14!=0. Not a root.
x=5; 5^2-10*5-5=25-55=-30!=0. Not a root.

4.2x^2-2=0
x=1; 2*1^2-2=2-2=0=0. 1 is a root. We can stop here.
x=5; 2*5^2-2=50-2=48!=0. Not a root.

5. x^2-2x-3=0
x=1; 1^2-2*1-3=-3!=0. Not a root.
x=5; 5^2-2*5-3=12!=0. Not a root.

Ans: «D»

Let’s expand the correct answer algebraically;
2x^2-2=0
2*x^2=2
x^2=1
x=+1 and x=-1

even your answer seems correct;
(2x-2)(x+1) = 0
So; 2x-2=0; x=2/2=1. «1 is also one of the roots in the equation(x^2-6x+5=0)»
x+1=0; x=-1.

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Intern

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Joined: 04 Feb 2011

Posts: 36

Location: US


Re: Which of the following equations has a root in common with x^2 — 6x +
[#permalink]



New post 
06 Feb 2011, 05:21

I like more -finding roots and further substitution as you explained first. I cant understand second solving algebraically, because other equations also share x=1 root.

I appreciate your help. Thanks a lot

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Retired Moderator

Joined: 20 Dec 2010

Posts: 1167


Re: Which of the following equations has a root in common with x^2 — 6x +
[#permalink]



New post 
06 Feb 2011, 06:18

Lolaergasheva wrote:

I like more -finding roots and further substitution as you explained first. I cant understand second solving algebraically, because other equations also share x=1 root.

I appreciate your help. Thanks a lot

None of the other equations has either 1 or 5 as root.

The quadratic equations in your example were not factored properly.

1.
x^2+1=0
was factored as
«(x-1)(x+1)», which is not correct

(x-1)(x+1) = x^2 — 1^2 = x^2 — 1 and not {x^2 + 1}

The correct way of factoring it is;
x^2 = -1
Well I see that; it cannot be factored because (x = sqrt{-1}) will result in some imaginary number.
So; x^2+1=0 has zero roots.

2.
x^2-x-2=0
x^2-2x+x-2=0
x(x-2)+1(x-2)=0
(x+1)(x-2)=0
So roots are;
x+1=0; x=-1 (Not 1)
x-2=0; x=2

3.
x^2-10x-5=0
This has two solutions but cannot be factored like other equations;
We will have to use discriminant approach to find roots;

For a quadratic equation; ax^2+bx+c=0
The two roots are;
(Roots=frac{-b pm sqrt{b^2-4*a*c}}{2*a})

x^2-10x-5=0
can be written as
1x^2+(-10)x+(-5)=0
a=1
b=-10
c=-5

Plug these values in the formula;
(Roots = frac{-(-10) pm sqrt{(-10)^2-4*1*(-5)}}{2*1})
(Roots = frac{10 pm sqrt{100+20}}{2*1})
(Roots = frac{10 pm sqrt{120}}{2})
(Roots=5 pm frac{sqrt{120}}{2})

###(frac{sqrt{120}}{2} approx 5.5)###

(Root_1 approx 5+5.5=10.5)
(Root_2 approx 5-5.5=-0.5)

Neither of the roots is 1 or 5.

4.
2x^2-2=0
2(x^2-1)=0
x^2-1=0
x^2=1
i.e. x=1(This is the only place where the root is 1) and x=-1

5.
x^2-2x-3=0
x^2-3x+x-3=0
x(x-3)+1(x-3)=0
(x+1)(x-3)=0
x+1=0; x=-1(Not 1)
x-3=0; x=3

Please visit the following link should you need in-depth theory about quadratic equation and factorization;

https://gmatclub.com/forum/algebra-101576.html#p787276

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Re: Which of the following equations has a root in common with x^2 — 6x +
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06 Feb 2011, 07:58

Thank you for the link and for correcting my mistakes.

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Re: Which of the following equations has a root in common with x^2 — 6x +
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06 Feb 2011, 11:02

Roots of x^2-6x+5=0 are 1 and 5
After scanning the answer choices, I chose easy equation 2x^2-2=0 which gives x = 1 or -1 So D

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Re: Which of the following equations has a root in common with x^2 — 6x +
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14 Nov 2011, 15:20

ok here is how I approached the problem:

I solved the equation to get the x value
x=5, x=1

and I solved each of the equations to see if any of the equations has a common factor with the equation in the stem quation.
non of the had anything in common except for C, which has x=1,x=-1.

hope that helps

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Re: Which of the following equations has a root in common with x^2 — 6x +
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14 Nov 2011, 22:56

Stoneface wrote:

Which of the following equations has a root in common with x^2 — 6x + 5 = 0?

A. x^2 + 1 = 0
B. x^2 — x — 2 = 0
C. 2x^2 — 2 = 0
D. x^2 — 2x — 3 = 0
E. x^2 — 10x — 5 = 0

The given equation can be simplified to (x-1)(x-5)=0
Roots are 1 and 5.

You don’t need to find roots of each equation give as options
Just simplify each option

After quick inspection only E can have 5 as a probable root. So only check whether or not 1 is a root.

A. No real root
B. (x-2)(x+1)=0 [x=1 does not make the left hand side zero]
C. 2(x^2-1)=0 [x=1 does make the left hand side zero]
D. (x-3)(x+1)=0 [x=1 does not make the left hand side zero]
E. Don’t care… by observation neither 1 nor 5 can be a root

Hence C

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Re: Which of the following equations has a root in common with x^2 — 6x +
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28 Dec 2015, 13:58

Which of the following has «A» root common. Only C has one root common with the equation in the question.
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Re: Which of the following equations has a root in common with x^2 — 6x +
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08 Jul 2016, 02:00

Lolaergasheva wrote:

Which of the following equations has a root in common with x^2 — 6x + 5 = 0?

A. x^2 + 1 = 0
B. x^2 — x — 2 = 0
C. 2x^2 — 2 = 0
D. x^2 — 2x — 3 = 0
E. x^2 — 10x — 5 = 0

x^2 — 6x + 5 = 0
(x-5)(x-1) = 0
The roots are 1 and 5

We need to check for each option to calculate the roots. This can be done by plugging in the values in the equations

(A) x2 + 1 = 0. None of 1 or 5 satisfies this equation
(B) x2 — x — 2 =0. None of 1 or 5 satisfies this equation
(C) 2×2 — 2 =0. x = 1 satisfies this equation. Hence this has a common root
(D) x2 — 2x — 3 =0. None of 1 or 5 satisfies this equation
(E) x^2 — 10x — 5 = 0. None of 1 or 5 satisfies this equation

Correct Option: C

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Which of the following equations has a root in common with x^2 — 6x +
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New post 
Updated on: 08 Apr 2020, 07:40

Lolaergasheva wrote:

Which of the following equations has a root in common with (x^2 — 6x + 5 = 0)?

A. (x^2 + 1 = 0)

B. (x^2 — x — 2 = 0)

C. (2x^2 — 2 = 0)

D. (x^2 — 2x — 3 = 0)

E. (x^2 — 10x — 5 = 0)

Step 1: Solve the given equation: x² – 6x + 5 = 0
This is a quadratic set equal to zero, so let’s factor to get:
(x-1)(x-5)=0
So, we have two solutions (roots): x=1 or x=5

Step 2: Solve the other 5 equations to see which one has a root (solution) of x=1 or x=5

IMPORTANT: It appears that the only way to answer this question is to keep checking every single answer choice until we find that one that has a solution of either x=1 or x=5. Given this, where do you think the test-maker would hide the correct answer? In these situations, I always start at E and work my way up. Is the answer to these questions always E (or perhaps D)? No, but it’s more likely that the correct answer is near the bottom.

Okay, E: x² – 2x – 3 =0
Factor to get: (x-3)(x+1)=0
So, x=3 or x=-1
No shared solutions (roots) so keep going.

D: x² – 2x -3 =0
Factor: (x — 3)(x + 1) = 0
So, x = 3 or x = -1
No shared solutions (roots) so keep going.

C: 2x² – 2 =0
Factor: 2(x² — 1) = 0
Keep factoring: 2(x+1)(x-1)=0
So, x=1 or x=-1

We have a common solution, so the correct answer must be C

Cheers,
Brent
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Re: Which of the following equations has a root in common with x^2 — 6x +
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New post 
25 Mar 2018, 10:16

Lolaergasheva wrote:

Which of the following equations has a root in common with (x^2 — 6x + 5 = 0)?

A. (x^2 + 1 = 0)

B. (x^2 — x — 2 = 0)

C. (2x^2 — 2 = 0)

D. (x^2 — 2x — 3 = 0)

E. (x^2 — 10x — 5 = 0)

is my approach correct ?

so from here (x^2 — 6x + 5 = 0) we have:

Root one = 1
Root two = 5

so i simply plugged one of these roots ( i took 1 ) in all answer choices and only C yielded ZERO

is it correct?

not sure about 5 though :) Am i just lucky to answer correctly?:)

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Re: Which of the following equations has a root in common with x^2 — 6x +
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New post 
25 Mar 2018, 10:27

dave13 wrote:

Lolaergasheva wrote:

Which of the following equations has a root in common with (x^2 — 6x + 5 = 0)?

A. (x^2 + 1 = 0)

B. (x^2 — x — 2 = 0)

C. (2x^2 — 2 = 0)

D. (x^2 — 2x — 3 = 0)

E. (x^2 — 10x — 5 = 0)

is my approach correct ?

so from here (x^2 — 6x + 5 = 0) we have:

Root one = 1
Root two = 5

so i simply plugged one of these roots ( i took 1 ) in all answer choices and only C yielded ZERO

is it correct?

not sure about 5 though :) Am i just lucky to answer correctly?:)

Perfect approach!

Cheers,
Brent
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Re: Which of the following equations has a root in common with x^2 — 6x +
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15 Sep 2019, 19:32

Lolaergasheva wrote:

Which of the following equations has a root in common with (x^2 — 6x + 5 = 0)?

A. (x^2 + 1 = 0)

B. (x^2 — x — 2 = 0)

C. (2x^2 — 2 = 0)

D. (x^2 — 2x — 3 = 0)

E. (x^2 — 10x — 5 = 0)

x^2-6x+5=0

x=5 or 1

3. 2x^2-2=0
x = 1 or -1

Root x=1 is common

IMO C

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Re: Which of the following equations has a root in common with x^2 — 6x +
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New post 
15 Apr 2020, 09:30

Lolaergasheva wrote:

Which of the following equations has a root in common with (x^2 — 6x + 5 = 0)?

A. (x^2 + 1 = 0)

B. (x^2 — x — 2 = 0)

C. (2x^2 — 2 = 0)

D. (x^2 — 2x — 3 = 0)

E. (x^2 — 10x — 5 = 0)

First, let’s solve x^2 — 6x + 5 = 0 by factoring:

(x — 5)(x — 1) = 0

x = 5 or x = 1

We can solve the equations in the given choices by factoring also. However, we see that the equation in choice A is not factorable (the equation is a sum of squares), so we can start with choice B.

B. (x — 2)(x + 1) = 0

x = 2 or x = -1

We see that the equation in choice B does not have a root in common with x^2 — 6x + 5 = 0.

C. 2(x^2 — 1) = 0

2(x — 1)(x + 1) = 0

x = 1 or x = -1

We see that the equation in choice C does have a root in common with x^2 — 6x + 5 = 0 (namely, x = 1).

Answer: C

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Re: Which of the following equations has a root in common with x^2 — 6x +
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New post 
06 May 2021, 00:21

OptimusPrepJanielle wrote:

Lolaergasheva wrote:

Which of the following equations has a root in common with x^2 — 6x + 5 = 0?

A. x^2 + 1 = 0
B. x^2 — x — 2 = 0
C. 2x^2 — 2 = 0
D. x^2 — 2x — 3 = 0
E. x^2 — 10x — 5 = 0

x^2 — 6x + 5 = 0
(x-5)(x-1) = 0
The roots are 1 and 5

We need to check for each option to calculate the roots. This can be done by plugging in the values in the equations

(A) x2 + 1 = 0. None of 1 or 5 satisfies this equation
(B) x2 — x — 2 =0. None of 1 or 5 satisfies this equation
(C) 2×2 — 2 =0. x = 1 satisfies this equation. Hence this has a common root
(D) x2 — 2x — 3 =0. None of 1 or 5 satisfies this equation
(E) x^2 — 10x — 5 = 0. None of 1 or 5 satisfies this equation

Correct Option: C

This approach takes less time . Thanks this is exactly how I too have solved the problem.

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