Given all the assumptions you made, that is correct.
If I have the following equation
and it is known that x and y are both non-equal, non-zero, even integers
then z will even and can be written
It is also required that z be a square integer
so it can be rewritten
So with the above constraints I believe that
can be rewritten
Have I made any fundamental mistakes anywhere?
I'm actually saying that this equation was derived by setting other values to even
guarantees a is a positive even integer if b is any integer > 0
guarantees a is positive odd integer if b is any integer ≥ 0
You might see the whole thing soon. At the minute I seem to have
2(odd integer) - (different [or same] odd integer) = even integer
which would prove what I'm trying to calculate is impossible.
damn, turned out to be odd, lol