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# For any integer x, [x] is defined by the equation [x] = x +

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Director
Joined: 29 Nov 2012
Posts: 828
For any integer x, [x] is defined by the equation [x] = x + [#permalink]

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Updated on: 06 Jul 2013, 08:19
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Difficulty:

35% (medium)

Question Stats:

64% (01:19) correct 36% (01:55) wrong based on 198 sessions

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For any integer x, [x] is defined by the equation [x] = x + 1. which of the following is equal to

A. 0
B. 2
C. -2x-
D. 2x
E. 2x-

I'm not sure how to write this question down over here as it has different functions! Attached image. Kindly provide Explanations. Thanks!
[Reveal] Spoiler: OA

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Originally posted by fozzzy on 06 Jul 2013, 07:10.
Last edited by Bunuel on 06 Jul 2013, 08:19, edited 1 time in total.
Edited the question.
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Re: For any integer X, [x] is defined by the equation [x] = x+ [#permalink]

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06 Jul 2013, 07:14
2
KUDOS
$$([x])^2=(x+1)^2$$
$$[x^2]=x^2+1$$

$$([x])^2-[x^2]=x^2+2x+1-x^2-1=2x$$
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Re: For any integer x, [x] is defined by the equation [x] = x + [#permalink]

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06 Jul 2013, 08:23
Expert's post
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fozzzy wrote:
For any integer x, [x] is defined by the equation [x] = x + 1. which of the following is equal to

A. 0
B. 2
C. -2x-
D. 2x
E. 2x-

I'm not sure how to write this question down over here as it has different functions! Attached image. Kindly provide Explanations. Thanks!

DS Functions and Custom Characters questions: search.php?search_id=tag&tag_id=40
PS Functions and Custom Characters questions: search.php?search_id=tag&tag_id=61

Recently bumped questions fro this category: new-project-review-discuss-and-get-kudos-points-153555.html#p1238175

Hope it helps.
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For any integer x, [x] is defined by the equation [x] = x + [#permalink]

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18 Oct 2017, 03:09
Plugin in value of x
Let x=2
representing x bar with=Ẍ =x+1
$$(Ẍ)^2$$-{$$(x)^2$$}- this part the one in the curly bracket the value of x has to be first squared and then represented in Ẍ form($$(2)^2$$+1)
$$(2+1)^2$$-(4+1)
$$(3)^2$$-(5)=4
9-5=4
now put x=2 in the given answer choices only 2x=4 answer D.
For any integer x, [x] is defined by the equation [x] = x +   [#permalink] 18 Oct 2017, 03:09
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