$$-x^3+49x^2-498x+289 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.61735 & x_2 = 13.37055 & x_3 = 35.0121 \end{matrix} $$
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