Question
$$x^2 = \frac{452}{5}$$
Answer
$$ \begin{matrix}x_1 = -2 \dfrac{\sqrt{ 565 }}{ 5 } & x_2 = \dfrac{ 2 \sqrt{ 565}}{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2 &= \frac{452}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5x^2 &= 5\cdot\frac{452}{5}&& \text{cancel out the denominators} \\[1 em]5x^2 &= 452&& \text{move all terms to the left hand side } \\[1 em]5x^2-452 &= 0&& \\[1 em] \end{aligned} $$
$ 5x^{2}-452 = 0 $ is a quadratic equation.
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