Question
$$\frac{1}{1000}x^3-\frac{3}{20}x^2+\frac{105}{2}x+975 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{1000}x^3-\frac{3}{20}x^2+\frac{105}{2}x+975 &= 0&& \text{multiply ALL terms by } \color{blue}{ 1000 }. \\[1 em]1000 \cdot \frac{1}{1000}x^3-1000\frac{3}{20}x^2+1000\frac{105}{2}x+1000\cdot975 &= 1000\cdot0&& \text{cancel out the denominators} \\[1 em]x^3-150x^2+52500x+975000 &= 0&& \\[1 em] \end{aligned} $$
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