Which of the following is always equal to sqrt(9+x^2-6x)? : GMAT Problem Solving (PS)
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# Which of the following is always equal to sqrt(9+x^2-6x)?

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Which of the following is always equal to sqrt(9+x^2-6x)? [#permalink]

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10 Aug 2010, 22:20
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64% (01:31) correct 36% (00:37) wrong based on 301 sessions

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Which of the following is always equal to $$\sqrt{9+x^2-6x}$$?

A. x - 3
B. 3 + x
C. |3 - x|
D. |3 + x|
E. 3 - x

OPEN DISCUSSION OF THIS QUESTION IS HERE: which-of-the-following-is-always-equal-to-sqrt-9-x-2-6x-54341.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 12 Aug 2014, 11:18, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Which of the following is always equal to sqrt(9+x^2-6x)? [#permalink]

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10 Aug 2010, 22:48
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bibha wrote:
Which of the following always equals sqrt(9+x^2-6x)?
a)x-3
b)3+x
c)|3+x|
d)|3-x|
e)3-x

I got D as the answer
$$\sqrt{9+x^2-6x}$$= $$\sqrt{(x-3)^2}$$= |3-x| or |x-3|
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Re: Which of the following is always equal to sqrt(9+x^2-6x)? [#permalink]

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11 Aug 2010, 01:28
It's |x-3| or |3-x|
(D)
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Re: Which of the following is always equal to sqrt(9+x^2-6x)? [#permalink]

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11 Aug 2010, 13:11
It should be D
sqrt(x^2)=|x|

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Re: Which of the following is always equal to sqrt(9+x^2-6x)? [#permalink]

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06 Aug 2014, 21:21
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Re: Which of the following is always equal to sqrt(9+x^2-6x)? [#permalink]

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12 Aug 2014, 10:57
bibha wrote:
Which of the following always equals sqrt(9+x^2-6x)?
a)x-3
b)3+x
c)|3+x|
d)|3-x|
e)3-x

kindly explain how we got C as an answer?
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Re: Which of the following is always equal to sqrt(9+x^2-6x)? [#permalink]

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12 Aug 2014, 11:22
Expert's post
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arjunagarwal88 wrote:
bibha wrote:
Which of the following always equals sqrt(9+x^2-6x)?
a)x-3
b)3+x
c)|3+x|
d)|3-x|
e)3-x

kindly explain how we got C as an answer?

Which of the following is always equal to $$\sqrt{9+x^2-6x}$$?

A. x - 3
B. 3 + x
C. |3 - x|
D. |3 + x|
E. 3 - x

$$\sqrt{9+x^2-6x}=\sqrt{(3-x)^2}=|3-x|$$.

OPEN DISCUSSION OF THIS QUESTION IS HERE: which-of-the-following-is-always-equal-to-sqrt-9-x-2-6x-54341.html
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Re: Which of the following is always equal to sqrt(9+x^2-6x)?   [#permalink] 12 Aug 2014, 11:22
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