Question
$$x^2+(30-x)^2 = 20^2$$
Answer
$$ \begin{matrix}x_1 = 15+5i & x_2 = 15-5i \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2+(30-x)^2 &= 20^2&& \text{simplify left and right hand side} \\[1 em]x^2+900-60x+x^2 &= 400&& \\[1 em]2x^2-60x+900 &= 400&& \text{move all terms to the left hand side } \\[1 em]2x^2-60x+900-400 &= 0&& \text{simplify left side} \\[1 em]2x^2-60x+500 &= 0&& \\[1 em] \end{aligned} $$
$ 2x^{2}-60x+500 = 0 $ is a quadratic equation.
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