Question

it's a challenging question please try to make it

Answer 1

Let
$t = {x}^{4}$

So, the equation will be

${t}^{2} + t + 1 = 0$

$t = \frac{ - 1 + \sqrt{ - 3} }{2} \: \: or \: \: t = \frac{ - 1 - \sqrt{ - 3} }{2}$

$(t -(\frac{ - 1 + \sqrt{ - 3} }{2}))(t - (\frac{ - 1 - \sqrt{ - 3} }{2})) = 0$

$({x}^{4} -(\frac{ - 1 + \sqrt{ - 3} }{2}))({x}^{4} - (\frac{ - 1 - \sqrt{ - 3} }{2})) = 0$

"Thanks"