Question
$$\frac{300}{x^7}-300x^{12}-2 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{300}{x^7}-300x^{12}-2 &= 0&& \text{multiply ALL terms by } \color{blue}{ x^7 }. \\[1 em]x^7\cdot\frac{300}{x^7}-x^7\cdot300x^{12}-x^7\cdot2 &= x^7\cdot0&& \text{cancel out the denominators} \\[1 em]300-300x^{19}-2x^7 &= 0&& \text{simplify left side} \\[1 em]-300x^{19}-2x^7+300 &= 0&& \\[1 em] \end{aligned} $$
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
Equations Solver