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Question
$$\frac{93}{100}x^8+\frac{256}{1000}x^4+\frac{3675}{10000} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{93}{100}x^8+\frac{256}{1000}x^4+\frac{3675}{10000} &= 0&& \text{multiply ALL terms by } \color{blue}{ 10000 }. \\[1 em]10000 \cdot \frac{93}{100}x^8+10000\frac{256}{1000}x^4+10000\cdot\frac{3675}{10000} &= 10000\cdot0&& \text{cancel out the denominators} \\[1 em]9300x^8+2560x^4+3675 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
This page was created using
Polynomial Equations Solver