Question

if x+1/x=11 find x²+1/x²​

Answer 1

Question:

If x+1/x=11,then find x²+1/x²

Answer:

Given that,

x+1/x=11.............[1]

To find:x²+1/x²

Squaring [1] on both sides,

(x+1/x)²=(11)²

→x²+1/x²+2x.1/x=121

→x²+1/x²+2=121 [x.1/x=1]

→x²+1/x²=119

The value of the given expression would be 119