If x + 1/x = 5 Find the Value of x2 + 1/x2

Answer:

It is given that : x + 1 /x  = 5

Now, we need to find: x² + 1 / x².

• ( x + 1 / x )² = 25

= x² + 1 / x² + 2 (x)(1/x) = 25

= x² + 1/x² + 2 = 25

= x² + 1 / x² = 25 – 2

= x² + 1 / x²=23

Hence, x² + 1/x² = 23