Question

if x+1/x=11 find the value of x^2+1/x^2​

Answer 1

Here, x+1/x =11

x +1= 11x

10x =1

x=1/10.

Here , x²+1/x²

(1/10)²+1 / (1/10)²

1+ 100/100 / 1/100

101/ 1

= 101

Answer 2

Step-by-step explanation:

Given -

• x + 1/x = 11

To Find -

• Value of x² + 1/x²

Now,

→ x + 1/x = 11

Squaring both sides :-

→ (x + 1/x)² = (11)²

→ x² + 1/x² + 2×x×1/x = 121

→ x² + 1/x² + 2 = 121

→ x² + 1/x² = 121 - 2

→ x² + 1/x² = 119

Hence,

The value of x² + 1/x² is 119

Source - https://brainly.in/question/17984456