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help me people

Name: Anonymous 2008-12-07 10:33

My math teacher sent me some homework via EMAIL at YESTERDAY MIDNIGHT. And he wrote that me and another student has to solve all the tasks, or else we will be given enough grades to fail at the end of this term. ISN'T HE CRAZY???

So please, my fellows, help me shove the answers up his ass.
Here is the first i couldn't solve.

x^2 + 32x + 2264 = p^2; p is a prime of choice
find x, if x is an integer

tl;dr: please give tips how to solve the problem above

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