Question
$$\frac{4167}{100000}x^4+\frac{1}{4}x^3+\frac{45833}{100000}x^2+\frac{3}{2}x+5 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{4167}{100000}x^4+\frac{1}{4}x^3+\frac{45833}{100000}x^2+\frac{3}{2}x+5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 100000 }. \\[1 em]100000 \cdot \frac{4167}{100000}x^4+100000\frac{1}{4}x^3+100000\frac{45833}{100000}x^2+100000\frac{3}{2}x+100000\cdot5 &= 100000\cdot0&& \text{cancel out the denominators} \\[1 em]4167x^4+25000x^3+45833x^2+150000x+500000 &= 0&& \\[1 em] \end{aligned} $$
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