Question

Please give the correct solution with process.​

Answer 1

Step-by-step explanation:

$x - \frac{1}{x} = \sqrt{3} \\ \\ (x - \frac{1}{x} ) {}^{2} = ( { \sqrt{3}) }^{2} \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } - 2.x. \frac{1}{x} = 3 \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } - 2 = 3 \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 3 + 2 \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = 5 \\ \\ \\ using \: \: formula \: \: (x - y ){}^{2} = {x}^{2} + {y}^{2} + 2.x.y \\ \\ (\sqrt{x} ) {}^{2} = x$