Question
$$\frac{2}{x^2}+2x-3 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} \frac{2}{x^2}+2x-3 &= 0&& \text{multiply ALL terms by } \color{blue}{ x^2 }. \\[1 em]x^2\cdot\frac{2}{x^2}+x^2\cdot2x-x^2\cdot3 &= x^2\cdot0&& \text{cancel out the denominators} \\[1 em]2+2x^3-3x^2 &= 0&& \text{simplify left side} \\[1 em]2x^3-3x^2+2 &= 0&& \\[1 em] \end{aligned} $$
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
Equations Solver