Question
$$x = (x+2)^4$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x &= (x+2)^4&& \text{simplify right side} \\[1 em]x &= x^4+8x^3+24x^2+32x+16&& \text{move all terms to the left hand side } \\[1 em]x-x^4-8x^3-24x^2-32x-16 &= 0&& \text{simplify left side} \\[1 em]-x^4-8x^3-24x^2-31x-16 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using quartic formulas
This page was created using
Polynomial Equations Solver