Question
$$\frac{1}{10}x^2-x+2 = 0$$
Answer
$$ \begin{matrix}x_1 = 5-\sqrt{ 5 } & x_2 = 5+\sqrt{ 5 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} \frac{1}{10}x^2-x+2 &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{1}{10}x^2-10x+10\cdot2 &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]x^2-10x+20 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-10x+20 = 0 $ is a quadratic equation.
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