$$\frac{5x^3-2x^2+1}{x-3} = 0$$
Answer
$$ \begin{matrix}x_1 = -0.47743 & x_2 = 0.43871+0.47586i & x_3 = 0.43871-0.47586i \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{5x^3-2x^2+1}{x-3} &= 0&& \text{multiply ALL terms by } \color{blue}{ x-3 }. \\[1 em](x-3)\frac{5x^3-2x^2+1}{x-3} &= (x-3)\cdot0&& \text{cancel out the denominators} \\[1 em]5x^3-2x^2+1 &= 0&& \\[1 em] \end{aligned} $$
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