Question
$$1+x-x^3 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 1+x-x^3 &= 0&& \text{simplify left side} \\[1 em]-x^3+x+1 &= 0&& \\[1 em] \end{aligned} $$
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