Hello everyone,

Got stuck on this one and wanted to see if anyone could help me here.

Thank you.

For all integers n, if n is a perfect square, then n+2 is NOT a perfect square.

I keep running in circles, can anyone help me prove this one?

Thanks!

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- Mar 10th 2009, 07:12 AMjthrockBeginning Discrete Proof
Hello everyone,

Got stuck on this one and wanted to see if anyone could help me here.

Thank you.

For all integers n, if n is a perfect square, then n+2 is NOT a perfect square.

I keep running in circles, can anyone help me prove this one?

Thanks! - Mar 10th 2009, 08:50 AMPlato
- Mar 10th 2009, 08:58 AMjthrock
I know, this is where we got stuck in class. The prof was unsure about it either so we decided this would be a "quiz" in the future.

- Mar 10th 2009, 09:13 AMPlato
Both $\displaystyle (J-K)\;\&\;(J+K)$ are positive integers.

Both factors of 2. What are the factors of 2? - Mar 10th 2009, 09:26 AMjthrock
I'm sorry but I'm a bit confused, the factors of 2 are 2 *1. But I do not understand where you are going with this. By the way, thank you for your help with this.