Looks like all of the unanswered questions have all been answered... Well.. I might shove a question onto here because the to-do list seems empty...
X2=Y+a
Y2=Z+a
Z2=X+a
It was an old question I remember from Early High School. Lets see what you guys come up with.
Thanks for the question Takahiro
I cheated (or used the resources available to me)
http://www.wolframalpha.com/input/?i=X%5E2%3DY%2Ba%2C+Y%5E2%3DZ%2Ba%2C+Z%5E2%3DX%2Ba
It seems that the only real solution is
X=Y=Z=−na=n2+nWhere n∈R
Thanks for the question Takahiro
I cheated (or used the resources available to me)
http://www.wolframalpha.com/input/?i=X%5E2%3DY%2Ba%2C+Y%5E2%3DZ%2Ba%2C+Z%5E2%3DX%2Ba
It seems that the only real solution is
X=Y=Z=−na=n2+nWhere n∈R