Question
$$3+12x-9x^4-20x^5+4x^8 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 3+12x-9x^4-20x^5+4x^8 &= 0&& \text{simplify left side} \\[1 em]4x^8-20x^5-9x^4+12x+3 &= 0&& \\[1 em] \end{aligned} $$
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