Question

please solve it fast guys​

Answer 1

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

Squaring both Sides,

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

$x {}^{2} + \frac{1}{ {x}^{2} } + 2 = 5$

${x}^{2} + \frac{1}{ {x}^{2} } = 5 - 2$

${x}^{2} + \frac{1}{ {x}^{2} } = 3$

Squaring both sides,

$({x}^{2} + \frac{1}{ {x}^{2} }) {}^{2} = (3) {}^{2}$

${x}^{4} + \frac{1}{ {x}^{4} } + 2 = 3 {}^{2}$

$x {}^{4} + \frac{1}{ {x}^{4} } = 9 - 2$

${x}^{4} + \frac{1}{x {}^{4} } = 7$

$\mathcal\orange{Please\:mark\:as\:brainliest.....}$

Answer 2

Answer:

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