eshwarjayanth wrote:If a·b≠0, and (x+a)(x+b)=0, is x=a?
(1) x−b=0
(2) a=−b
OA - A
Given (x+a)(x+b)=0, either x+a = 0 or x+b = 0.
Statement 1: x-b = 0.
Thus, x+b ≠0, implying that x+a = 0 and that x = -a.
Thus, we know that x≠a.
SUFFICIENT.
Statement 2: a=−b.
Subtituting b=-a into (x+a)(x+b)=0, we get:
(x+a)(x-a) = 0.
If x+a = 0, then x = -a.
If x-a = 0, then x=a.
INSUFFICIENT.
The correct answer is
A.
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