$$5x^4-10x^3+10x^2-5x-11 = 0$$
Answer
$$ \begin{matrix}x_1 = -0.64684 & x_2 = 1.64684 & x_3 = 0.5+1.34731i \\[1 em] x_4 = 0.5-1.34731i & \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
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Polynomial Equations Solver