Question

Evaluate (x-1/x)^2-(x+1/x)^2​

Answer 1

$( {x - \frac{1}{x} })^{2} - ( {x + \frac{1}{x} })^{2} \\ \\ = {x}^{2} + \frac{1}{ {x}^{2} } - 2 - {x}^{2} - \frac{1}{ {x}^{2} } - 2 \\ \\ = - 4$

Answer 2

ANSWER

(x-1/x)^2-(x+1/x)^2

(x-1)^2/x^2-(x+1)^2/x^2

x^2+1-2x/x^2-x^2+1+2x/x^2

(x^2+1-2x-x^2+1+2x)/x^2

2/x^2

OR

x^2=2

x=√2