Question
$$x^5+4x^4+3x^3+2x^2+x+8 = 14$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x^5+4x^4+3x^3+2x^2+x+8 &= 14&& \text{move all terms to the left hand side } \\[1 em]x^5+4x^4+3x^3+2x^2+x+8-14 &= 0&& \text{simplify left side} \\[1 em]x^5+4x^4+3x^3+2x^2+x-6 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
This page was created using
Polynomial Equations Solver