Question

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

Answer 1

Hey mate,

Given, x - 1/x = 11 

squaring on both sides we get 

⇒ (x-1/x)2=112 

⇒ x2+1/x2-2(x)(1/x)=121......(a-b)2=a2+b2-2ab 

⇒ x2+1/x2-2=121 

⇒ x2+1/x2 = 121+2

⇒ x2+1/x2 = 123

∴ x2+1/x2=123

HOPE IT HELPS:-))

Answer 2

Hey mate,
Here's your answer..

x+1/x =11
On squaring both the sides,
(x+1/x)² = (11)²
x²+1/x²+2×x×1/x=121
x²+1/x²=121-2
x²+1/x²=119

Hope this helps you..