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

We have ,x- 1/x=5

Then x-1=5x

5x-x=-1

4x=-1

X=-1/4

Now we have the value of x

X^2-1/x^2=(-1/4)^2-1/(-1/4)^2=(1/16)-1/( 1/16)

(-15/16) × 16/1= -15