I think something missing in the question........
If we continue with Abhishek009's solution, we get:
(x-1)(x-2) = 36
x^2 - 3x + 2 = 36
x^2 - 3x - 34 = 0
At this point, we can't factor the quadratic equation, which means x is not an integer.
I'd be surprised if this were an actual GMAT question, since I've never seen a GMAT question require students to use the Quadratic Formula (or its cousin "Completing the Square") to solve a quadratic equation and the only way to solve x^2 - 3x - 34 = 0 is to use one of these time-consuming approaches.
What's the source of this question?
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