SOLUTION: Just why do we need "imaginary" numbers - the real ones are hard enough... Please, can you help me with: (2i)/(-1+6i)

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Question 62093: Just why do we need "imaginary" numbers - the real ones are hard enough... Please, can you help me with:
(2i)/(-1+6i)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Good question! I'm not certain that we "need" them but, since they do occur from time-to-time, one should know how to handle them.
%282i%29%28-1%2B6i%29+=+%28-2i+%2B+12i%5E2%29 Recall that i%5E2+=+-1, so:
%282i%29%28-1%2B6i%29+=+-12+-+2i%29 or -%2812+%2B+2i%29