Question
$$4x^3+\frac{76}{3}x^2+36x-1000 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 4x^3+\frac{76}{3}x^2+36x-1000 &= 0&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3\cdot4x^3+3 \cdot \frac{76}{3}x^2+3\cdot36x-3\cdot1000 &= 3\cdot0&& \text{cancel out the denominators} \\[1 em]12x^3+76x^2+108x-3000 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
This page was created using
Polynomial Equations Solver