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Math Help - Calculate every fourth root of: -7-24i

  1. #1
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    Calculate every fourth root of: -7-24i

    How can I calculate every fourth root of: -7-24i ?
    Thanks in advance.
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  2. #2
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    Quote Originally Posted by Fujiwara View Post
    How can I calculate every fourth root of: -7-24i ?
    Thanks in advance.

    Put z=-7-24i=25e^{i\alpha+2k\pi}\,,\,\,k=0,1,2,3\,,\,\,\alp  ha=\arctan\frac{24}{7} in the third quadrant (as both the real

    and imaginary parts of z are negative). Now do the maths

    Tonio
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  3. #3
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    Quote Originally Posted by Fujiwara View Post
    How can I calculate every fourth root of: -7-24i ?
    Thanks in advance.
    My first thought was "not every root, just every fourth root"!

    Seriously, though, you do understand that you are expected to have tried and to show what you have done, don't you?
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