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](https://gradeup-question-images.grdp.co/liveData/PROJ16668/1526970773613320.png)
| 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