$$0 = x^3+x^2-3$$
Answer
$$ \begin{matrix}x_1 = 1.17456 & x_2 = -1.08728+1.17131i & x_3 = -1.08728-1.17131i \end{matrix} $$
Explanation
$$ \begin{aligned} 0 &= x^3+x^2-3&& \text{move all terms to the left hand side } \\[1 em]0-x^3-x^2+3 &= 0&& \text{simplify left side} \\[1 em]-x^3-x^2+3 &= 0&& \\[1 em] \end{aligned} $$
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