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Math Help - Equation with complex numbers

  1. #1
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    Equation with complex numbers

    Solve the equation.

    Equation with complex numbers-complex.png

    I don't know how to start and what to do here.

    Maybe I start with inserting the square root of minus one, or changing Re(z) = 3, and Im(z) = 1.

    I really don't know.

    Please for some advice and help.
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  2. #2
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    Quote Originally Posted by Nforce View Post
    Solve the equation.

    Click image for larger version. 

Name:	complex.PNG 
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ID:	19990

    I don't know how to start and what to do here.

    Maybe I start with inserting the square root of minus one, or changing Re(z) = 3, and Im(z) = 1.

    I really don't know.

    Please for some advice and help.

    Write z=x+iy\Longrightarrow Re(z)=x,\,Im(z)=y,\,\,\overline{z}=x-iy , and then compare real and imaginary parts in both sides.

    Tonio
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  3. #3
    Behold, the power of SARDINES!
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    Quote Originally Posted by Nforce View Post
    Solve the equation.

    Click image for larger version. 

Name:	complex.PNG 
Views:	35 
Size:	3.4 KB 
ID:	19990

    I don't know how to start and what to do here.

    Maybe I start with inserting the square root of minus one, or changing Re(z) = 3, and Im(z) = 1.

    I really don't know.

    Please for some advice and help.
    This should get you started any complex number z can be written in the form

    z=x+iy then \text{Re}(z)=x and \text{Im}(z)=y

    and note that two complex numbers are equal if and only if there real and imaginary parts are equal. for example

    z=3+4i if and only if x=3 \text{ and } y=4

    Try this and post again if you get stuck.
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  4. #4
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    That is just (2xy)i=(x+3)+(-y+1)i.
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  5. #5
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    I still can't see what are we doing. All those x,y and i confused me. At the "standard" equation you just have one variable.
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  6. #6
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    Quote Originally Posted by Nforce View Post
    I still can't see what are we doing. All those x,y and i confused me. At the "standard" equation you just have one variable.
    The long and short of this is: You are just not ready to tackle this question.
    Have a sit down, face-to-face with your instructor.
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  7. #7
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    Now I understand, I have just a linear equation, I need to find x, and y and then insert them back to see if left side is equal to right. And I have to set the real parts of equation to equal and same for imaginary part

    Am I right?

    I don't have an instructor, this forum is my instructor.
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  8. #8
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    Quote Originally Posted by Nforce View Post
    I don't have an instructor, this forum is my instructor.
    That is a very bad idea.
    In fact, it is a policy of the forum that we are not a homework service nor are we a tutorial service.
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  9. #9
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    I apologize, but I understand now, thanks to this forum and you guys.
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