$$4x^5-6x^3+2x^2-5x+5 = 0$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = 0.95561 & x_3 = -1.61005 \\[1 em] x_4 = -0.17278+0.88464i & x_5 = -0.17278-0.88464i \\[1 em] \end{matrix} $$
Explanation
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