$$4x^2-\frac{x^3}{3} = \frac{1088}{15}$$
Answer
$$ \begin{matrix}x_1 = -3.72046 & x_2 = 6.04478 & x_3 = 9.67568 \end{matrix} $$
Explanation
$$ \begin{aligned} 4x^2-\frac{x^3}{3} &= \frac{1088}{15}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15\cdot4x^2-15 \cdot \frac{x^3}{3} &= 15\cdot\frac{1088}{15}&& \text{cancel out the denominators} \\[1 em]60x^2-5x^3 &= 1088&& \text{simplify left side} \\[1 em]-5x^3+60x^2 &= 1088&& \text{move all terms to the left hand side } \\[1 em]-5x^3+60x^2-1088 &= 0&& \\[1 em] \end{aligned} $$
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