$$3x^3-5x^2+6 = 0$$
Answer
$$ \begin{matrix}x_1 = -0.88528 & x_2 = 1.27597+0.7944i & x_3 = 1.27597-0.7944i \end{matrix} $$
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