Question

if x+1/x = 5 then find the value of x^2 (1+x^2)+1/x ^2( 1+1/x^2)

please answer this fast ​

Answer 1

Answer:

Answer is 23.

Step-by-step explanation:

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