Question

if x +1/x=√3, evaluate x²+1/x²​

Answer 1

Step-by-step explanation:

$x + \frac{1}{x} = \sqrt{3} \\ squaring \: both \: sides \\ \ \: {(x + \frac{1}{x} )}^{2} = { ( \sqrt{3} )}^{2} \\ {x}^{2} + 2 + { \frac{1}{x} }^{2} = 3 \\ {x}^{2} + { \frac{1}{x} }^{2} = 1$

hope it helps....