Question

plzz tell the answer immediately​

Answer 1

±5√29

Step-by-step explanation:

$x = \frac{1}{x - 5} \\ \\ \frac{1}{x} = x - 5 \\ \\ x - \frac{1}{x} = 5 \: \: \: .......(i)$

$x - \frac{1}{x} = 5 \\ \\ {(x - \frac{1}{x}) }^{2} = {5}^{2} \\ \\ {(x + \frac{1}{x} )}^{2} - 4.x. \frac{1}{x} = 25 \\ \\ {(x + \frac{1}{x}) }^{2} = 25 + 4 \\ \\ {(x + \frac{1}{x}) }^{2} = 29 \\ \\ {(x + \frac{1}{x}) }^{} = ± \: \sqrt{29} ......(ii)$

${x}^{2} - \frac{1}{ {x}^{2} } \\ \\ (x + \frac{1}{x} )(x - \frac{1}{x} ) \\ \\ ±\sqrt{29} \times 5 \\ \\ \:± \: 5 \sqrt{29} \: \: \: \: from \: (i )\ \: nd \:( ii)$