Question

If x-1/x = 8 , then the value of x²+1/x² is
A)66. B)64. C)62. D)68​

Answer 1

Solution

Given :-

• x - 1/x = 8 _________(1)

Find :-

• Value of x² + 1/x² .

Explanation

Using Formula

$\boxed{\tt{\red{\:(a+b)^2\:=\:(a^2+b^2+2ab)}}}$

So, Squaring both side of equ(1)

➡ (x + 1/x)² = 8².

➡x² + 1/x² + 2 × x × 1/x = 64

➡x² + 1/x² = 64 - 2

➡x² + 1/x² = 62

Hence

• Value of x² + 1/x² will be = 62

_____________