Question
$$100x^4+215x^3+\frac{16650}{100}x^2+205x+68 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 100x^4+215x^3+\frac{16650}{100}x^2+205x+68 &= 0&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100\cdot100x^4+100\cdot215x^3+100 \cdot \frac{16650}{100}x^2+100\cdot205x+100\cdot68 &= 100\cdot0&& \text{cancel out the denominators} \\[1 em]10000x^4+21500x^3+16650x^2+20500x+6800 &= 0&& \\[1 em] \end{aligned} $$
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