$$x^3+\frac{5}{2}x^2-50x+10 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.20221 & x_2 = 5.80984 & x_3 = -8.51205 \end{matrix} $$
Explanation
$$ \begin{aligned} x^3+\frac{5}{2}x^2-50x+10 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2x^3+2 \cdot \frac{5}{2}x^2-2\cdot50x+2\cdot10 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]2x^3+5x^2-100x+20 &= 0&& \\[1 em] \end{aligned} $$
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