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Math Help - complex number question..

  1. #1
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    complex number question..



    k=0,1,2,3 is when we find the roots of z^4

    we dont have this situation
    here
    why they do it here
    we equalize the angles
    and the "r"s

    ??

    so we have some value for the "r" and the angle
    why k=0..3

    its not finding roots of some z^4

    ?
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: complex number question..

    Quote Originally Posted by transgalactic View Post


    k=0,1,2,3 is when we find the roots of z^4

    we dont have this situation
    here
    why they do it here
    we equalize the angles
    and the "r"s

    ??

    so we have some value for the "r" and the angle
    why k=0..3

    its not finding roots of some z^4

    ?
    It because of Fundamental theorem of algebra - Wikipedia, the free encyclopedia

    Hebrew link:
    המשפט היסודי של האלגברה – ויקיפדיה
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  3. #3
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    Re: complex number question..

    yes i know it
    for every complex root of a polinomial we got its coplex opposite

    but its not the case here
    we are not looking for roots of a polinomial
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  4. #4
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    Re: complex number question..

    z^3=\overline z\Rightarrow\ z^4=z\overline z=constant=x+0i
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  5. #5
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    Re: complex number question..

    ahh ok
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