Question

Ifx=1-√2 find x-1/x
Pls answer fast.

Answer 1

Answer:

$x = 1 - \sqrt{2} \\ x - \frac{1}{x} \\ = \frac{ {x}^{2} - 1 }{x} \\ = {(1 - \sqrt{2} )}^{2} - 1 \: \: \times \frac{1}{1 - \sqrt{2} } \\ = \frac{1 - 2 \times 1 \times \sqrt{2} - { \sqrt{2} }^{2} }{1 - \sqrt{2} } \\ = \frac{1 - 2 \sqrt{2} - 2}{1 - \sqrt{2} } \\ = \frac{ - 1 - 2 \sqrt{2} }{1 - \sqrt{2} }$