Question
$$10x^2-\frac{163}{100}x-10 = 0$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 163 }{ 2000 }-\dfrac{\sqrt{ 4026569 }}{ 2000 } & x_2 = \dfrac{ 163 }{ 2000 }+\dfrac{\sqrt{ 4026569 }}{ 2000 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 10x^2-\frac{163}{100}x-10 &= 0&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100\cdot10x^2-100 \cdot \frac{163}{100}x-100\cdot10 &= 100\cdot0&& \text{cancel out the denominators} \\[1 em]1000x^2-163x-1000 &= 0&& \\[1 em] \end{aligned} $$
$ 1000x^{2}-163x-1000 = 0 $ is a quadratic equation.
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