Question

x+1/x=5, find x^2+1/x^2​

Answer 1

Answer:

23

Step-by-step explanation:

Given, x + 1/x = 5

To find: x² + 1/x²

So, squaring on both sides,

( x + 1/x )² = ( 5 )²

Using identity : (a+b)² = a² + b² + 2ab

x² + 1/x² + 2*x*1/x = 25

x² + 1/x² + 2 = 25

x² + 1/x² = 25 - 2

x² + 1/x² = 23

Hope this helps you.