Question

if x+1/x=√5 then x^2+1/x^2=?​

Answer 1

Answer:

$x + \frac{1}{x} = \sqrt{5} \\ squaring \: both \: sides \: we \: get \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2.x. \frac{1}{x} = 5 \\ {x}^{2} + \frac{1}{ {x}^{2}} = 3$

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