$$x^4-\frac{5622}{1000}x-1 = 0$$
Answer
$$ \begin{matrix}x_1 = -0.1777 & x_2 = 1.83386 & x_3 = -0.82808+1.5437i \\[1 em] x_4 = -0.82808-1.5437i & \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^4-\frac{5622}{1000}x-1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 1000 }. \\[1 em]1000x^4-1000 \cdot \frac{5622}{1000}x-1000\cdot1 &= 1000\cdot0&& \text{cancel out the denominators} \\[1 em]1000x^4-5622x-1000 &= 0&& \\[1 em] \end{aligned} $$
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