Question

if x+ 1/x =√7 ,find x² + 1/x² on squaring both sides

Answer 1

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Answer 2

$x + \frac{1}{x} = \sqrt{7} \\ \\ on \: squaring \: both \: sides \: we \: get \: \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2(x)( \frac{1}{x} ) = 7 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 7 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 5$