Question
$$-x^3+\frac{4}{3}x^2-\frac{4}{9}x+\frac{2}{27} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -x^3+\frac{4}{3}x^2-\frac{4}{9}x+\frac{2}{27} &= 0&& \text{multiply ALL terms by } \color{blue}{ 27 }. \\[1 em]-27x^3+27 \cdot \frac{4}{3}x^2-27\frac{4}{9}x+27\cdot\frac{2}{27} &= 27\cdot0&& \text{cancel out the denominators} \\[1 em]-27x^3+36x^2-12x+2 &= 0&& \\[1 em] \end{aligned} $$
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