Question

X4+1/x4 = 527 So find x2 +1/x2

Answer 1

$= > {x}^{ 4} + \frac{1}{ {x}^{4} } = 527 \\ \\ = > { ({x}^{2} )}^{2} + {( \frac{1}{ {x}^{2}}) }^{2} = 527 \\ \\ = > { ({x}^{2} + \frac{1}{ {x}^{2} }) }^{2} + 2 \times {x}^{2} \times \frac{1}{ {x}^{2} } = 527 \\ \\ = > { ({x}^{2} + \frac{1}{ {x}^{2} }) }^{2} = 525 \\ \\ = > {x}^{2} + \frac{1}{ {x}^{2} } = \sqrt{525}$