Question

If x1/x=6, Find the value of x^2 1/x^2​

Answer 1

$\red{ \huge{ Hello \: Mate! }}$

$\begin{gathered}x + \frac{1}{x} = 6 \\ \end{gathered}$

On squaring both sides we get,

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

Identity I used =

${(a + b)}^{2} = {a}^{2} + {b}^{2} + 2ab(a+b)$

$\boxed{ \textsf{ \red{ Hence\:answer\:is\:34 }}}$

${{\red{\underline{Have \: great \: future \: ahead}}}}</p><p></p><p></p><p>$