$$3x^3+5 = 0$$
Answer
$$ \begin{matrix}x_1 = -1.18563 & x_2 = 0.59282+1.02679i & x_3 = 0.59282-1.02679i \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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Polynomial Equations Solver