Question

if x-1/x=8 then the value of xsq.+1/xsq.​

Answer 1

Answer:

66

Step-by-step explanation:

Given,

   x - 1 / x = 8

 Square on both sides :

⇒ ( x - 1 / x )^2 = 8^2

       Using ( a - b )^2 = a^2 + b^2 - 2ab

⇒ ( x )^2 + ( 1 / x )^2 - 2( x * 1 / x ) = 64

⇒ x^2 + 1 / x^2 - 2( 1 ) = 64

⇒ x^2 + 1 / x^2 - 2 = 64

⇒ x^2 + 1 / x^2 = 64 + 2 = 66