1957 AHSME Problems/Problem 27

One approach is to plug in some roots.

You have $x^{2}-5x+6=0$

The roots are $x=2$ and $x=3$ .

The sum of the roots is $\frac{1}{2}+\frac{1}{3}=\frac{5}{6}$ .

In this case, $p$ and $q$ are $-5$ and $6$ .

From there, you can easily tell that the answer is $(A)$

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