Question

If X+1/x=5 find the value of x2+1/x2​

Answer 1

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( 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 Ans .

Answer 2

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