Question

when x+1/x=3,find the value of x²+1/x²​

Answer 1

$\huge{\mathcal{\blue{\underline{Answer}}}}$

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