$$-\frac{1}{3}x^3+3x^2+5x-50 = 0$$
Answer
$$ \begin{matrix}x_1 = 4.26216 & x_2 = -4.01898 & x_3 = 8.75682 \end{matrix} $$
Explanation
$$ \begin{aligned} -\frac{1}{3}x^3+3x^2+5x-50 &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]-3 \cdot \frac{1}{3}x^3+3\cdot3x^2+3\cdot5x-3\cdot50 &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]-x^3+9x^2+15x-150 &= 0&& \\[1 em] \end{aligned} $$
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