Which property defines the integer solutions (x,y)(x, y)(x,y) of the equation x2+y2=z2x^2 + y^2 = z^2x2+y2=z2 if gcd(x,y,z)=1\gcd(x, y, z) = 1gcd(x,y,z)=1?
All x,y,zx, y, zx,y,z are even
x=m2−n2,y=2mn,z=m2+n2x = m^2-n^2, y = 2mn, z = m^2+n^2x=m2−n2,y=2mn,z=m2+n2
x=m2+n2,y=2mn,z=m2−n2x = m^2+n^2, y = 2mn, z = m^2-n^2x=m2+n2,y=2mn,z=m2−n2
There are no solutions