Question

solve it find value​

Answer 1

$x + \frac{1}{x} = 5 \\ {(x + \frac{1}{x} )}^{2} = {5}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 25 - 2 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 23 \\ {( {x}^{2} + \frac{1}{ {x}^{2} } )}^{2} = {23}^{2} \\ {x}^{4} + \frac{1}{ {x}^{4} } + 2 = 529 \\ {x}^{4} + \frac{1}{ {x}^{4} } = 529 - 2 \\ {x}^{4} + \frac{1}{ {x}^{4} } = 527$