Question
$$(x+1)^4+4(x-1)^4 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} (x+1)^4+4(x-1)^4 &= 0&& \text{simplify left side} \\[1 em]x^4+4x^3+6x^2+4x+1+4(x^4-4x^3+6x^2-4x+1) &= 0&& \\[1 em]x^4+4x^3+6x^2+4x+1+4x^4-16x^3+24x^2-16x+4 &= 0&& \\[1 em]5x^4-12x^3+30x^2-12x+5 &= 0&& \\[1 em] \end{aligned} $$
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