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Math Help - Cartesian equation

  1. #1
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    Question Cartesian equation

    How do i solve this:

    What is the Cartesian equation for the region represented by

    Re((8-i) z +3) = 0


    Thanks
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  2. #2
    Moo
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    Hello,

    Quote Originally Posted by taurus View Post
    How do i solve this:

    What is the Cartesian equation for the region represented by

    Re((8-i) z +3) = 0


    Thanks
    Write z=x+iy, x and y are real numbers.

    -> (8-i)z=(8x+y)+i(y-x)

    -> (8-i)z+3=(8x+y+3)+i(y-x)

    --> Re((8-i)z+3)=8x+y+3

    ----> \boxed{8x+y+3=0}
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  3. #3
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    Question

    So your first step you expanded brackets yes?
    so
    > (8-i)z
    > (8-i)(x+iy)
    > 8x + 8y - ix - iy = 8(x+y) - i(x-y)

    Which doesnt look like yours. What am i doing wrong?
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  4. #4
    Moo
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    Quote Originally Posted by taurus View Post
    So your first step you expanded brackets yes?
    so
    > (8-i)z
    > (8-i)(x+iy)
    > 8x + 8y - ix - iy = 8(x+y) - i(x+y)

    Which doesnt look like yours. What am i doing wrong?
    I'm doing wrong

    Sorry, a little mistake. You're right
    Last edited by Moo; May 12th 2008 at 04:35 AM.
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