Question

if x+1/x =5 then find the value of xsquare + 1/xsquare

Answer 1

$x + \frac{1}{x} = 5 \\ ( {x + \frac{1}{x}) }^{2} = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2x( \frac{1}{x} ) = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 25 - 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 23$