SOLUTION: 8z^3-64=0 and its asking for possible 3 answers

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Question 408664: 8z^3-64=0
and its asking for possible 3 answers
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
This is equivalent to z%5E3+=+8. On the complex plane, z%5E3+=+8 has three roots of unity, 2, 2%2Aomega, and 2%2A%28omega%29%5E2 where omega+=+e%5E%28i%2A2pi%2F3%29+=+-1%2F2+%2B+i%2Asqrt%283%29%2F2.