eh?
ok, give me an illustration, so that I (might have some chance to try to) know what you are talking about: What are the other cube roots of, oh, 27, besides 3?
and no cheating... X3 and Y3 and Z3 have the same numeric value ;)
x**3-1=0 is the equation we need to solve. -1 is one solution.
(x**3-1)/(x-1)=x**2+x+1 so we solve this by the quadratic formula.
x=(-1+Sqrt(-3))/2 or (-1-Sqrt(-3))/2
These are the others cube roots. Multiplying by 3 gives the cube roots of (-27).