Question

If x to the power 2 plus one by x to the power 2 equal to 6 find the value of x to the power 4 plus one by x to the power 4

Answer 1

${x}^{2}+\frac{1}{x^{2}} = 6$
$thus \: squaring \: both \: the \: sides \: we \: get -$
$( {x^{2} + \frac{1}{{x}^{2} } })^{2} = (6)^{2}$
${x}^{4} + \frac{1}{x^{4} } = 36$
$hope \: it \: helps \:$

Answer 2

x²+1/x²=6

squaring on both sides......

(x²+1/x²)²=6²

x⁴+1/x⁴=36

Hope it will help you mate