$$\frac{5x^3-2x^2+1}{x}-3 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.31965 & x_2 = -0.75185 & x_3 = 0.8322 \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{5x^3-2x^2+1}{x}-3 &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x \cdot \frac{5x^3-2x^2+1}{x}-x\cdot3 &= x\cdot0&& \text{cancel out the denominators} \\[1 em]5x^3-2x^2+1-3x &= 0&& \text{simplify left side} \\[1 em]5x^3-2x^2-3x+1 &= 0&& \\[1 em] \end{aligned} $$
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