Question
$$x^3-\frac{1}{2}x^2+\frac{33}{80}x-\frac{9}{80} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x^3-\frac{1}{2}x^2+\frac{33}{80}x-\frac{9}{80} &= 0&& \text{multiply ALL terms by } \color{blue}{ 80 }. \\[1 em]80x^3-80 \cdot \frac{1}{2}x^2+80\frac{33}{80}x-80\cdot\frac{9}{80} &= 80\cdot0&& \text{cancel out the denominators} \\[1 em]80x^3-40x^2+33x-9 &= 0&& \\[1 em] \end{aligned} $$
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