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Thread: Complex Number Equation

  1. December 5th 2010, 09:16 AM #1
    javax
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    Complex Number Equation

    Hello. I would appreciate some help on this problem:

    Find the solution of the equation:

    |z|-z=1-3i

    where z-complex number.
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  2. December 5th 2010, 09:36 AM #2
    Archie Meade
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    Quote Originally Posted by javax View Post
    Hello. I would appreciate some help on this problem:

    Find the solution of the equation:

    |z|-z=1-3i

    where z-complex number.
    z=a+ib

    |z|=\sqrt{a^2+b^2}

    |z|-z=\sqrt{a^2+b^2}-a-ib

    Solve by inspection for "b" and deduce "a".
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