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$$4x^8-29x^4+25 = 0$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = -1 & x_3 = -1.58114 \\[1 em] x_4 = 1.58114 & x_5 = 1i & x_6 = -i \\[1 em] x_7 = 1.58114i & x_8 = -1.58114i \\[1 em] \end{matrix} $$
Explanation
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