Question
$$10000 = \frac{7292}{10}x^3-\frac{37912}{10}x^2+\frac{65854}{10}x+\frac{35671}{10}$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 10000 &= \frac{7292}{10}x^3-\frac{37912}{10}x^2+\frac{65854}{10}x+\frac{35671}{10}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10\cdot10000 &= 10 \cdot \frac{7292}{10}x^3-10\frac{37912}{10}x^2+10\frac{65854}{10}x+10\cdot\frac{35671}{10}&& \text{cancel out the denominators} \\[1 em]100000 &= 7292x^3-37912x^2+65854x+35671&& \text{move all terms to the left hand side } \\[1 em]100000-7292x^3+37912x^2-65854x-35671 &= 0&& \text{simplify left side} \\[1 em]-7292x^3+37912x^2-65854x+64329 &= 0&& \\[1 em] \end{aligned} $$
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