Question

if x*2+1/x*2=83 find the value of x-1/x​

Answer 1

$x {}^{2} + \frac{1}{x {}^{2} } = 83 \\ \\ x - \frac{1}{x} = \: ? \\ \\ = > x - \frac{1}{x} = \sqrt{x {}^{2} + \frac{1}{x {}^{2} } - 2.x. \frac{1}{x} } \\ \\ = \sqrt{83 - 2} \\ \\ = \sqrt{81} \\ \\ = \sqrt{9 {}^{2} } \\ \\ = 9$

I hope this helps.