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Math Help - Complex numbers help

  1. #1
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    Complex numbers help

    I need help with numbers 11 and 12 in the attachted document.

    I'm not trying to cheat because the answers are already given.. It's not marked work..
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  2. #2
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    Re: Complex numbers help

    Quote Originally Posted by Benja303 View Post
    I need help with numbers 11 and 12 in the attachted document.
    #11 \frac{x}{2-i}=\frac{x(2+i)}{5}~\&~\frac{y}{1+3i}=\frac{y(1-3i)}{10}

    #12 z=\frac{(3-4i)(2+i)}{5}-i
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  3. #3
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    Re: Complex numbers help

    I'm completely lost, please explain what you have here
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  4. #4
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    Re: Complex numbers help

    Quote Originally Posted by Benja303 View Post
    I'm completely lost, please explain what you have here
    This is not a tutorial service.
    Both of those questions turn on this fact: \frac{1}{z} = \frac{{\overline z }}{{\left| z \right|^2 }}.

    Example: \frac{1}{3-4i}=\frac{3+4i}{25}.

    If (1+3i)z=2+i then z=\frac{(2+1)(1-3i)}{10}.
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