Prove that for any integer n n^2+n+1, can never be a square number.
The Attempt at a Solution
We could put the equation to a^2, (where a^2 is a square number) and solve for n and show that n can not be an integer.
I tried quadratic formula on the equation but the solution gets too messy, and i cant prove that the answer is not an integer.
There must be an easier way to solve this. Just point me in the right direction.