Question
$$\frac{1}{200}x^4+75x-700 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{1}{200}x^4+75x-700 &= 0&& \text{multiply ALL terms by } \color{blue}{ 200 }. \\[1 em]200 \cdot \frac{1}{200}x^4+200\cdot75x-200\cdot700 &= 200\cdot0&& \text{cancel out the denominators} \\[1 em]x^4+15000x-140000 &= 0&& \\[1 em] \end{aligned} $$
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