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Math Help - conjugate complex

  1. #1
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    Post conjugate complex

    Hey All,

    Can someone help with the attached pic. Thanks
    Attached Thumbnails Attached Thumbnails conjugate complex-complexno.gif  
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  2. #2
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    Quote Originally Posted by dadon View Post
    Hey All,

    Can someone help with the attached pic. Thanks
    Find all z satisfying:

    3 z z' + 2(z-z') =39 +12 j

    where z' denotes the complex conjugate of z.

    i. z z' = |z|^2

    ii. z-z' = 2 j Im(z)

    Hence we have |z|^2 = 39, and 2 Im(z) =12. Now write z=a+jb, then

    a^2+b^2 = 39, and b=6,

    so:

    a^2 = 3,

    hence a=+/-sqrt(3)

    So all z satisfying the given equation are (sqrt(3) + 6j) and (-sqrt(3) + 6j).

    RonL
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