Question
$$100x^4+215x^3+\frac{461}{2}x^2+301x+100 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 100x^4+215x^3+\frac{461}{2}x^2+301x+100 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot100x^4+2\cdot215x^3+2 \cdot \frac{461}{2}x^2+2\cdot301x+2\cdot100 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]200x^4+430x^3+461x^2+602x+200 &= 0&& \\[1 em] \end{aligned} $$
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