Question
$$x\cdot\frac{3}{3}+\frac{3}{x} = 0$$
Answer
$$ \begin{matrix}x_1 = \sqrt{ 3 } i & x_2 = -\sqrt{ 3 } i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x\cdot\frac{3}{3}+\frac{3}{x} &= 0&& \text{multiply ALL terms by } \color{blue}{ 3x }. \\[1 em]3xx\cdot\frac{3}{3}+3x\cdot\frac{3}{x} &= 3x\cdot0&& \text{cancel out the denominators} \\[1 em]3x^2+9 &= 0&& \\[1 em] \end{aligned} $$
$ 3x^{2}+9 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
This page was created using
Equations Solver