Question

if x+1/x =5, evaluate x² + 1/x²​

Answer 1

Answer:

Given x + 1 /x ) = 5

We need to find X2+ 1 / x2

( x + 1 / x )2 = 25

= x2 + 1 / x2 + 2 (x)(1)(1/x) =25

= x2 + 1/x2 + 2 = 25

= X2 + 1 / x2 = 25 – 2

= X2+ 1 / x2=23

Hence X2+ 1 / x2= 23