Question

if x+1/x = 3,find the value of x^2 + 1/x^2​

Answer 1

$x + \frac{1}{x} = 3 \\ ( {x + \frac{1}{x} )}^{2} = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2.x. \frac{1}{x} = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 7$