Complex

Z1 , Z2 belong C with Z1^2-Z1*Z2+Z2^2=0
i)to show that the triangle ΟΑΒ is equilateral with [Ο(0,0) , Α(Ζ1) , Β(Ζ2)]
ii)(Z1/Z2)^2005 + (Z2/Z1)^2005 = 1