Question
$$\frac{1}{5}x^4+x^2-\frac{6439}{10000} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{5}x^4+x^2-\frac{6439}{10000} &= 0&& \text{multiply ALL terms by } \color{blue}{ 10000 }. \\[1 em]10000 \cdot \frac{1}{5}x^4+10000x^2-10000\cdot\frac{6439}{10000} &= 10000\cdot0&& \text{cancel out the denominators} \\[1 em]2000x^4+10000x^2-6439 &= 0&& \\[1 em] \end{aligned} $$
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