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Homework Help: Finding complex solutions from an eqn.

  1. Mar 31, 2014 #1
    Given z = 1 + i,

    Find all complex solutions to z^{2} + Conjugate:z^{2} = 0

    I have come up with a way to solving this but it doesn't make any sense.

    would it be:
    z^{2} + 1-i = 0

    z^{2} = -1+i

    Solve for all complex roots

    then do the same for conjugate squared?
  2. jcsd
  3. Mar 31, 2014 #2


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    Finding all complex solutions to z^2+conjugate(z^2)=0 makes a bit of sense. Adding "when z=1+i" makes it make no sense unless you just want to show (1+i)^2+(1-i)^2=0. Or do you just want to solve (1+i)^2+conjugate(z^2)=0??
    Last edited: Mar 31, 2014
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