SOLUTION: What are the roots, both real and imaginary, of the equation x^3+18x=0?

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Question 390025: What are the roots, both real and imaginary, of the equation x^3+18x=0?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Factor x out

x%28x%5E2+%2B+18%29+=+0

Either x = 0 or x%5E2+%2B+18+=+0. If x%5E2+%2B+18+=+0, then x%5E2+=+-18 --> x+=+0+%2B-+3sqrt%282%29i.