$$\frac{1}{200}x^4+75x-700 = 0$$
Answer
$$ \begin{matrix}x_1 = 8.91267 & x_2 = -27.20972 & x_3 = 9.14853+22.21706i \\[1 em] x_4 = 9.14853-22.21706i & \\[1 em] \end{matrix} $$
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