- #1

- 13

- 0

## Homework Statement

Prove that for any integer n n^2+n+1, can never be a square number.

## Homework Equations

None.

## 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.