$$x^2 = \frac{4}{3}$$
Answer
$$ \begin{matrix}x_1 = -2 \dfrac{\sqrt{ 3 }}{ 3 } & x_2 = \dfrac{ 2 \sqrt{ 3}}{ 3 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2 &= \frac{4}{3}&& \text{multiply ALL terms by } \color{blue}{ 3 }. \\[1 em]3x^2 &= 3\cdot\frac{4}{3}&& \text{cancel out the denominators} \\[1 em]3x^2 &= 4&& \text{move all terms to the left hand side } \\[1 em]3x^2-4 &= 0&& \\[1 em] \end{aligned} $$
$ 3x^{2}-4 = 0 $ is a quadratic equation.
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