Question

If x²+1/x²=7 find the value of x_1/x

Answer 1

Answer:

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

${(x - \frac{1}{x}) }^{2} = 7 - 2$

$x - \frac{1}{x} = \sqrt{5}$