$$34x^3-171x^2+268x-156 = 0$$
Answer
$$ \begin{matrix}x_1 = 2.79884 & x_2 = 1.11529+0.62886i & x_3 = 1.11529-0.62886i \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
This page was created using
Polynomial Equations Solver