$$ \begin{aligned} x^2-5x+6 &= 2&& \text{move all terms to the left hand side } \\[1 em]x^2-5x+6-2 &= 0&& \text{simplify left side} \\[1 em]x^2-5x+4 &= 0&& \\[1 em] \end{aligned} $$
$ x^{2}-5x+4 = 0 $ is a quadratic equation.
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