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Solving Complex Function for multiple solutions

  1. Jun 5, 2013 #1
    1. Find all the solutions to the equation z^4 + j^4 = 0

    2. z^n = |a|e^j(Θ + 2pik)

    3. I really dont know where to start, I thought about j^4 = 1, so z^4=-1. I then simplified to conclude that z^4 = -e^jpi. I am not sure if that is correct and if it is what to do next.
  2. jcsd
  3. Jun 5, 2013 #2


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    2017 Award

    Staff: Mentor

    You can write z in polar coordinates, too, and solve for r and possible values of Θ.
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