Ok, I don't know what I was doing before but I think I understand it now. Maybe.
If y=0, then x=12 or +/-sqrt(13)---> (12,0) and (sqrt(13),0)
another possibility if y=/=0 would be (x, +/-sqrt(13-x^2)) right?
EDIT: (because I made a stupid mistake above)
y=0, x=1,3,-4
when y=0 the...