Question

x+1/x=2 then the value of x²+1/x² is​

Answer 1

Answer:

$x + \frac{1 }{x} = 2 \\ squaring \: both \: sides \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \frac{1}{x} = 4 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 4 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 4 - 2 = 2$