Hello All, I am trying to parameterize solutions in integers to the following Diophantine Equation:

(x^2) + 5*(y^2) = (z^2)

This comes from an additional review portion of my text. It states the following tip:

Consider only solutions that satisfy GCD[x,y,z]=1, and that x,y,z > 0 and that x is odd. If two cases appear, combine them into one by using absolute value.

Does anybody have any ideas? Any help is appreciated!