Question

10th question answer wanted

Answer 1

Answer : Option (2) - 34

Explanation : 

Given x - 1/x = 2.

On squaring both sides, we get

We know that (a-b)^2 = a^2 + b^2 - 2ab

(x - 1/x)^2 = (2)^2

x^2 + 1/x^2 - 2 * x * 1/x = 4

x^2 + 1/x^2 - 2 = 4  

x^2 + 1/x^2 = 2 + 4

x^2 + 1/x^2 = 6

On squaring both sides, we get

We know that (a + b)^2 = a^2 + b^2 + 2ab.

(x^2 + 1/x^2)^2 = (6)^2

x^4 + 1/x^4 + 2 * x^2 * 1/x^2 = 36

x^4 + 1/x^4 + 2 = 36

x^4 + 1/x^4 = 36 - 2

x^4 + 1/x^4 = 34.


Hope this helps!