Question

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

Answer 1

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

Answer 2

Answer: x+1/x = 11

= (x+1/x)^2 = (11)^2

= (x)^2+(1/x)^2+2*x*1/x = 121

= (x)^2+(1/x)^2 + 2 = 121

= (x)^2+(1/x)^2 = 121-2

= (x)^2+(1/x)^2=119 is the correct

answer.