Question

if X square + 1 by x square is equal to 7 find the value of x minus one by X​

Answer 1

Answer:

${x}^{2} + \frac{1}{ {x}^{2} } = {(x - \frac{1}{x} )}^{2} + 2 \\ \implies 7 = {(x - \frac{1}{x} )}^{2} + 2 \\ \implies \: x - \frac{1}{x} = \sqrt{5}$