Question
$$x^3-\frac{78}{28}\cdot5^2x-\frac{15}{28}\cdot5^3 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} x^3-\frac{78}{28}\cdot5^2x-\frac{15}{28}\cdot5^3 &= 0&& \text{multiply ALL terms by } \color{blue}{ 28 }. \\[1 em]28x^3-28 \cdot \frac{78}{28}\cdot5^2x-28\frac{15}{28}\cdot5^3 &= 28\cdot0&& \text{cancel out the denominators} \\[1 em]28x^3-1950x-1875 &= 0&& \\[1 em] \end{aligned} $$
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