Exercise 23.8 (v)

I was asked in class today about Ex. 23.8 (v) and gave some not so useful advice.  The problem asks you to prove that there is no positive integer solution to x^2 +x +1 =y^2.  There is a simple solution that begins with the observation that any positive solution would satisfy $x < y$, and so $y \ge x+1$ (since $x$ and $y$ are supposed to be integers).

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