Question

tell the answer fast please

Answer 1

$x + \frac{1}{x } = 5 \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 25 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 23 \\ now \: \\ {( {x}^{2} + \frac{1}{ {x}^{2} }) }^{3} = 12167 \\ {x}^{6} + \frac{1}{ {x}^{6} } + 3 \times {x}^{2} \times \frac{1}{ {x}^{2} } ( {x}^{2} + \frac{1}{ {x}^{2} } ) \\ = 12167 \\ {x}^{6} + \frac{1}{ {x}^{6} } = 12167 - 23 \times 3 = 12098$