Question

Given x+1/x = 2, find the value of x square+1/x square

Answer 1

$x + \frac{1}{x} = 2 \\ \\ {(x + \frac{1}{x}) }^{2} = {2}^{2} \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 4 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } = 2$