Question

if : 1/x-5 and x is not equal to 5 , find x²-1/x².​

Answer 1

( x + 1 /x ) = 5

We need to find x^2 + 1 / x^2

( 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

= x^2 + 1 / x^2=23

Hence x^2  + 1 / x^2 = 23.

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