Is square root (x - 3)^2 = 3 - x?
(1) x is not equal to 3.
(2) -x × |x| > 0.
GMATPrep
Is square root (x – 3)^2 = 3 – x?
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- sanju09
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Is √(x - 3)² = 3 - x?sanju09 wrote:Is square root (x - 3)^2 = 3 - x?
(1) x is not equal to 3.
(2) -x × |x| > 0.
GMATPrep
(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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