Question

if x+1/x = 9 then find x+1/x²
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Answer 1

$\huge \bold {\red {\underline {\underline{\mathfrak{ANSWER}}}}} \red{ :}$

$\star \underline \blue{Solution} \blue{:-}$

$x + \frac{1}{x} = 9 \\ \longrightarrow \: {(x + \frac{1}{x}) }^{2} = 81 \\ \longrightarrow {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 81 \\ \longrightarrow \: \boxed {\mathfrak{x}^{2} + {\mathfrak {\frac{1}{ {x}^{2} }}} = \mathfrak{79}}$

Answer 2

solution to the question given above