Question

if x-1/x = √5 find x^2+1/x^2​

Answer 1

$x - \frac{1}{x} = \sqrt{5} \\ ( {x - \frac{1}{x} })^{2} = 5 \\ {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 5 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 7$