$$x^6+9x^4+24x^2+16 = 0$$
Answer
$$ \begin{matrix}x_1 = 1i & x_2 = -i & x_3 = 2i \\[1 em] x_4 = -2i & \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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Polynomial Equations Solver