Question

If x- 1/x =9 then find the value of x² + 1/x²​

Answer 1

$x - \frac{1}{x} = 9 \\ \\ (x - \frac{1}{x}) ^{2} = {9}^{2} \\ \\ {x}^{2} + \frac{1}{{x}^{2} } - 2 = 81 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 83$

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