Question

if x +1 upon x is eqaul to 3 find the value of x raise to power 4 plus 1 upon x raise to power 4​

Answer 1

$x + \frac{1}{x} = 3 \\ {(x + \frac{1}{x}) }^{2} = {(3)}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = 9 \\ {x}^{2} + \frac{1}{ {x}^{2} } = 7 \\ {( {x}^{2} + \frac{1}{ {x}^{2} } ) }^{2} = {(7)}^{2} \\ {x}^{4} + \frac{1}{ {x}^{4} } + 2 = 49 \\ {x}^{4} + \frac{1}{ {x}^{4} } = 47$