Question
$$(x+2)^2+(x-3)^3 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} (x+2)^2+(x-3)^3 &= 0&& \text{simplify left side} \\[1 em]x^2+4x+4+x^3-9x^2+27x-27 &= 0&& \\[1 em]x^3-8x^2+31x-23 &= 0&& \\[1 em] \end{aligned} $$
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
Equations Solver