Question
$$x^3-\frac{2}{30}x+\frac{4}{210} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x^3-\frac{2}{30}x+\frac{4}{210} &= 0&& \text{multiply ALL terms by } \color{blue}{ 210 }. \\[1 em]210x^3-210 \cdot \frac{2}{30}x+210\cdot\frac{4}{210} &= 210\cdot0&& \text{cancel out the denominators} \\[1 em]210x^3-14x+4 &= 0&& \\[1 em] \end{aligned} $$
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