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Complex numbers

  1. Aug 5, 2009 #1
    It's been a long time since I've had to do this stuff so bare with me!

    Compute and graph the following:

    (a) -15+i/4+2i (multiply by the conjugate and I got -2.9+1.7i

    (b) (271/3)4 Now for some reason I have a feeling this has 3 solutions using complex numbers but can not figure them out, I've tried using polar coordinates and tried googling/wikipedia for help on this I'm just really stuck.

    (c) 27(4 + 1/3) I presume this can also have 3 solutions if i split it up into 271/3 times 274

    Any help on this greatly appreciated.
     
  2. jcsd
  3. Aug 5, 2009 #2

    jmb

    User Avatar

    That's correct.

    To start, try considering the simpler [itex]z=27^{1/3}[/itex] and then writing [itex]z[/itex] out in exponential form...

    Let me know if that hint isn't enough.

    It sounds like once you have done (b) you should be able to do this.
     
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