$$\frac{16x^3+8x^2-60x+31}{2x-1} = 0$$
Answer
$$ \begin{matrix}x_1 = 0.64237 & x_2 = 1.25705 & x_3 = -2.39942 \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{16x^3+8x^2-60x+31}{2x-1} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2x-1 }. \\[1 em](2x-1)\frac{16x^3+8x^2-60x+31}{2x-1} &= (2x-1)\cdot0&& \text{cancel out the denominators} \\[1 em]16x^3+8x^2-60x+31 &= 0&& \\[1 em] \end{aligned} $$
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