Question Bank - General Aptitude

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If \((x- \frac{1}{2})^2 -(x-\frac{3}{2})^2=x + 2,\) then the value of x is:

A.
4
B.
6
C.
2
D.
8

Solution:

Given:The expression is \((x- \frac{1}{2})^2 -(x-\frac{3}{2})^2=x + 2,\)Concept:a2 - b2 = (a + b) × (a - b)Calculation:? (x - 1/2 + x - 3/2) × (x - 1/2 - x + 3/2) = x + 2? (2x - 2) × (1) = x + 2? x = 4? The required result will be 4.

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