Question
$$\frac{2}{3}x^3+20x-100 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{2}{3}x^3+20x-100 &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3 \cdot \frac{2}{3}x^3+3\cdot20x-3\cdot100 &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]2x^3+60x-300 &= 0&& \\[1 em] \end{aligned} $$
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