Question

answer the question​

Answer 1

Answer:

x=9+4√5

$\frac{1}{x} = \frac{1}{9 + 4 \sqrt{5} }$

$\frac{1}{x} = \frac{1}{9 + 4 \sqrt{5} } \times \frac{9 - 4 \sqrt{5} }{9 - 4 \sqrt{5}}$

$\frac{1}{x} = \frac{ 9 - 4 \sqrt{5} } { {9}^{2} -{ (4 \sqrt{5)}^{2} } }$

$\frac{1}{x} = \frac{9 - 4 \sqrt{5} }{81 - 80}$

$\frac{1}{x} = 9 - 4 \sqrt{5}$

${x}^{2} + \frac{1}{ {x}^{2} } ={ (9 + 4 \sqrt{5})}^{2} + {(9 - 4 \sqrt{5}) }^{2}$

$=81 + 80 + 72 \sqrt{5} + 81 + 80 - 72 \sqrt{5}$

$= 80 + 81 + 80 + 81$

$= 322$

Your answer =322

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Answer 2

answer is 322.........................