Question

If x2+1/x2=51,find x-1/x

Answer 1

$\frac{ {x}^{2} + 1 }{ {x}^{2} } = 51 \\ 50 {x}^{2} = 1 \\ x = \frac{1}{5 \sqrt{2} } \\ \\ 1 - \frac{1}{x } = 1 - 5 \sqrt{2}$

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