If p and q (p \gt q) are the roots of the equation x^{2}-60x+899=0, then which one of the following is correct?

Explanation

Factoring the quadratic gives x^2 - 31x - 29x + 899 = 0. The roots are 31 and 29. Since p \gt q, p=31 and q=29. Testing the options, p - 2q + 27 = 31 - 58 + 27 = 0 is correct.

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