Question

hey frnds plzz answer me...
plzz ​

Answer 1

HeRe Is Your Ans

*****

$x = 9 - 4 \sqrt{5} \\ \\ \frac{1}{x} = \frac{1}{9 - 4 \sqrt{5} } \\ \\ \frac{1}{x} = \frac{1}{9 - 4 \sqrt{5} } \times \frac{9 + 4 \sqrt{5} }{9 + 4 \sqrt{5} } \\ \\ \frac{1}{x} = \frac{9 + 4 \sqrt{5} }{ {(9)}^{2} - {(4 \sqrt{5} )}^{2} } \\ \\ \frac{1}{x} = \frac{9 + 4 \sqrt{5} }{81 - 80} \\ \\ \frac{1}{x} = 9 + 4 \sqrt{5} </p><p></p><p>Now,</p><p></p><p> {x}^{2} + \frac{1}{ { x}^{2} } = {(9 - 4 \sqrt{5}) }^{2} + {(9 + 4 \sqrt{5} )}^{2} \\ \\ = 81 + 80 - 72 \sqrt{5} + 81 + 80 + 72 \sqrt{5} \\ \\ = 81 + 80 + 81 + 80 \\ \\ = 161 + 161 \\ \\ = 322$

*****

FolloW Me