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16 Sep 2014, 01:06
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C
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Difficulty:
35%
(medium)
Question Stats:
61% (00:54) correct
39%
(00:58)
wrong
based on 454
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Which of the following options always equates to \(\sqrt{9 + x^2 - 6x}\)?
A. \(x - 3\)
B. \(3 + x\)
C. \(|3 - x|\)
D. \(|3 + x|\)
E. \(3 - x\)
A. \(x - 3\)
B. \(3 + x\)
C. \(|3 - x|\)
D. \(|3 + x|\)
E. \(3 - x\)
16 Sep 2014, 01:06
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Official Solution:
Which of the following options always equates to \(\sqrt{9 + x^2 - 6x}\)?
A. \(x - 3\)
B. \(3 + x\)
C. \(|3 - x|\)
D. \(|3 + x|\)
E. \(3 - x\)
\(\sqrt{9 + x^2 - 6x} = \)
\(=\sqrt{(3 - x)^2} = \)
\(=|3 - x|\)
Note that both \(|x - 3|\) and \(|3 - x|\) represent the distance between \(x\) and 3. Hence, it follows that \(|x - 3| = |3 - x|\).
Answer: C
Which of the following options always equates to \(\sqrt{9 + x^2 - 6x}\)?
A. \(x - 3\)
B. \(3 + x\)
C. \(|3 - x|\)
D. \(|3 + x|\)
E. \(3 - x\)
\(\sqrt{9 + x^2 - 6x} = \)
\(=\sqrt{(3 - x)^2} = \)
\(=|3 - x|\)
Note that both \(|x - 3|\) and \(|3 - x|\) represent the distance between \(x\) and 3. Hence, it follows that \(|x - 3| = |3 - x|\).
Answer: C
General Discussion
21 Nov 2014, 05:05
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i answered choice a : x-3
i took the the expression as x^2-6x+9 ---> (x-3)^2. no my understanding is that on GMAT when some expression is under root sign, only positive root is considered...? is it correct. if it is so, the we need not take mod value...? pls help
i took the the expression as x^2-6x+9 ---> (x-3)^2. no my understanding is that on GMAT when some expression is under root sign, only positive root is considered...? is it correct. if it is so, the we need not take mod value...? pls help
