Question

if x+1/x =2 find x^2+1/x^2=

Answer 1

given that,
$x + \frac{1}{x} = 2$
now,
${x}^{2} + \frac{1}{ {x}^{2} } \\ = {(x + \frac{1}{x}) }^{2} - 2x \frac{1}{x} \\ = {2}^{2} - 2 \\ = 4 - 2 \\ = 2$