$$\frac{1}{2}x^3+2x-4 = 0$$
Answer
$$ \begin{matrix}x_1 = 1.36466 & x_2 = -0.68233+2.32308i & x_3 = -0.68233-2.32308i \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{1}{2}x^3+2x-4 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{1}{2}x^3+2\cdot2x-2\cdot4 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]x^3+4x-8 &= 0&& \\[1 em] \end{aligned} $$
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