$$4x^3-12x+9 = 0$$
Answer
$$ \begin{matrix}x_1 = -2.02728 & x_2 = 1.01364+0.28705i & x_3 = 1.01364-0.28705i \end{matrix} $$
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