Question

If x-1÷x= √3 find x^2+1÷x^2

Answer 1

$x - \frac{1}{x} = \sqrt{3} \\ {( x - \frac{1}{x} )}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } - 2 \times x \times \frac{1}{x} \\ {( \sqrt{3} )}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } - 2 \\ 3 + 2 = {x}^{2} + \frac{1}{ {x}^{2} } = 5$

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