Question
$$x^3+9-x = x^2+36$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x^3+9-x &= x^2+36&& \text{simplify left side} \\[1 em]x^3-x+9 &= x^2+36&& \text{move all terms to the left hand side } \\[1 em]x^3-x+9-x^2-36 &= 0&& \text{simplify left side} \\[1 em]x^3-x^2-x-27 &= 0&& \\[1 em] \end{aligned} $$
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