Question
$$\frac{2}{9}x^3+\frac{8}{9}x^2-\frac{16}{13}x+2 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{2}{9}x^3+\frac{8}{9}x^2-\frac{16}{13}x+2 &= 0&& \text{multiply ALL terms by } \color{blue}{ 117 }. \\[1 em]117 \cdot \frac{2}{9}x^3+117\frac{8}{9}x^2-117\frac{16}{13}x+117\cdot2 &= 117\cdot0&& \text{cancel out the denominators} \\[1 em]26x^3+104x^2-144x+234 &= 0&& \\[1 em] \end{aligned} $$
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