# If [a + (1/a)] 2 – 2[a – (1/a)] = 12, then which of the following

| If [a + (1/a)]

^{2}– 2[a – (1/a)] = 12, then which of the following is a value of ‘a’?A. -8 + √3

B. -8 - √3

C. 8 - √3

D. None of these

Please scroll down to ** see the correct answer ** and ** solution guide.**

### Right Answer is: D

#### SOLUTION

Let

– 2x – 8 = 0

Possible value of x i.e = 4, -2 …(1)

And = √20 or √8……(2)

Adding 1 and 2, we get two possible value of

a = 2+√5 or √2 - 1

Hence the value of "a" is none of these