$$x^2-2x+\frac{37}{100} = 0$$
Answer
$$ \begin{matrix}x_1 = 1-\dfrac{ 3 \sqrt{ 7}}{ 10 } & x_2 = 1+\dfrac{ 3 \sqrt{ 7}}{ 10 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} x^2-2x+\frac{37}{100} &= 0&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100x^2-100\cdot2x+100\cdot\frac{37}{100} &= 100\cdot0&& \text{cancel out the denominators} \\[1 em]100x^2-200x+37 &= 0&& \\[1 em] \end{aligned} $$
$ 100x^{2}-200x+37 = 0 $ is a quadratic equation.
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