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Is square root (x – 3)^2 = 3 – x?

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by sanju09 » Thu Mar 24, 2011 4:09 am
Is square root (x - 3)^2 = 3 - x?

(1) x is not equal to 3.

(2) -x × |x| > 0.



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by HSPA » Thu Mar 24, 2011 4:11 am
B for me
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by Anurag@Gurome » Thu Mar 24, 2011 5:45 am
sanju09 wrote:Is square root (x - 3)^2 = 3 - x?

(1) x is not equal to 3.

(2) -x × |x| > 0.

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Is √(x - 3)² = 3 - x?

(1) If x = 0, then √(-3)² = 3 holds true.
If x = 4, then √(4 - 3)² = 3 - 4 does not hold true.
No unique answer. NOT SUFFICIENT.

(2) -x × |x| > 0 implies that x < 0. Since x < 0, so √(x - 3)² = 3 - x will always hold true.
So, (2) is SUFFICIENT.

The correct answer is B.
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