Question

if x+1/x=6then x^2+1/x^2=?​

Answer 1

Hi there !!

$x + \frac{1}{x} = 6$

Squaring both sides,

$(x + \frac{1}{x} )^{2} = ( {6})^{2} \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2.x. \frac{1}{x} = 36 \\ \\ {x }^{2} + \frac{1}{ {x}^{2} } = 36 - 2 \\ \\ {x}^{2} + \frac{1}{ {x}^{2} } \\ \\ = 34$

Thankyou :)