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Question
$$-\frac{1}{3}x^3+\frac{75}{1000}x^2-\frac{1731}{1000000} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -\frac{1}{3}x^3+\frac{75}{1000}x^2-\frac{1731}{1000000} &= 0&& \text{multiply ALL terms by } \color{blue}{ 3000000 }. \\[1 em]-3000000 \cdot \frac{1}{3}x^3+3000000\frac{75}{1000}x^2-3000000\cdot\frac{1731}{1000000} &= 3000000\cdot0&& \text{cancel out the denominators} \\[1 em]-1000000x^3+225000x^2-5193 &= 0&& \\[1 em] \end{aligned} $$
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