Question

If x² + 1/x² = 38, find (x-1/x)

Answer 1

$using \: \: the \: \: identity \\ {(x - \frac{1}{x} )}^{2} = {x}^{2} + \frac{1}{ {x}^{2} } - 2 \\ = 38 - 2 = 36 \\ therefore \\ x - \frac{1}{x} = \sqrt{36 } = + \: \: or \: \: - 6$

Answer 2

Answer:

Step-by-step explanation: