How to find general solution (in terms of parameters) for diofantinediophantine equations x^2+y^2-z^2=1$x^2+y^2-z^2=1$ and x^2+y^2-z^2=-1$x^2+y^2-z^2=-1$?
It's easy to find such solutions for x^2+y^2-z^2=0$x^2+y^2-z^2=0$ or x^2+y^2-z^2-w^2=0$x^2+y^2-z^2-w^2=0$ or x^2+y^2+z^2-w^2=0$x^2+y^2+z^2-w^2=0$, but for these ones I cannot find anything relevant.
Victor Kuliamin