$$x^6-6x^3-16 = 0$$
Answer
$$ \begin{matrix}x_1 = 2 & x_2 = -1.25992 & x_3 = 0.62996+1.09112i \\[1 em] x_4 = 0.62996-1.09112i & x_5 = -1+1.73205i & x_6 = -1-1.73205i \end{matrix} $$
Explanation
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