Question

if x + 1/x = √11 , find x²+1/x²​

Answer 1

Answer:

$x + \frac{1}{x} = \sqrt{11} \\ taking \: square \\ (x + \frac{1}{x} ) {}^{2} = (\sqrt{11}) {}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 \times x \times \frac{1}{x} = 11 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 11 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 9$