Prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$.
Do I use the terms $x= r^2 - s^2$, $y = 2rs$, and $z = r^2 + s^2$ to prove this problem?
Thanks for any help.
Prove that $x^2 + y^2 = z^4$ has infinitely many solutions with $(x,y,z)=1$.
Do I use the terms $x= r^2 - s^2$, $y = 2rs$, and $z = r^2 + s^2$ to prove this problem?
Thanks for any help.