Question

x^2+1/x=5.....Find value of x^2+1/x^2

Answer 1

Hi Friend !!!


Here is ur answer,,,

x+1/x = 5


Squaring on both sides ,

(x+1/x)² = 5²

x²+1/x² + 2(x)(1/x) = 25

x²+1/x² + 2 = 25

x²+1/x² = 25-2

x²+1/x² = 23


Hope it helps u : )

Answer 2

Answer:

23

Step-by-step explanation:

( x + 1 /x ) = 5

( x + 1 / x )^2 = 25

= x^2 + 1 / x^2 + 2 * x * 1/x =25

= x ^2 + 1/x^2 + 2 = 25

= X^2 + 1 / x^2 = 25 - 2 = 23