$$x^{11}-2x^{10}+1 = 0$$
Answer
$$ \begin{matrix}x_1 = 1 & x_2 = -0.89903 & x_3 = 1.99902 \\[1 em] x_4 = 0.24624+0.90133i & x_5 = 0.24624-0.90133i & x_6 = -0.31303+0.85835i \\[1 em] x_7 = -0.31303-0.85835i & x_8 = 0.75673+0.60389i & x_9 = 0.75673-0.60389i \\[1 em] x_10 = -0.73993+0.5168i & x_11 = -0.73993-0.5168i \\[1 em] \end{matrix} $$
Explanation
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