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Help converting complex number to cartesian

  1. Mar 9, 2006 #1
    how convert dis to cartesian form!!?!
    quation was here
    and then i will need to sketch on an argand diagram.
    help apreciated thnx
     
    Last edited: Mar 9, 2006
  2. jcsd
  3. Mar 9, 2006 #2

    TD

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    I'm not sure what you mean, but how about replacing z with x+iy and then write out the equation in terms of x and y.
     
  4. Mar 9, 2006 #3
    ok... { x+yi: x + y = x*y }

    like dat?
     
  5. Mar 9, 2006 #4

    TD

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    Indeed, now you found a relation between x and y, the real and imaginary part. You can even solve this for either x or y. So you're looking for all the complex numbers which satisfy this relation.
     
  6. Mar 9, 2006 #5
    yea i dont kno, don reli get it... cud i do dis?

    and then divide by xy....
    1/x + 1/y = 1

    = x + y = 1

    = x^2 + y^2 = 1
     
  7. Mar 9, 2006 #6

    TD

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    What happens in this step?

    I'd say:

    [tex]xy = x + y \Leftrightarrow xy - y = x \Leftrightarrow y\left( {x - 1} \right) = x \Leftrightarrow y = \frac{x}{{x - 1}} = 1 + \frac{1}{{x - 1}}[/tex]
     
  8. Mar 9, 2006 #7
    howd u do that last step?
     
  9. Mar 9, 2006 #8

    TD

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    That one isn't necessary, I split the fraction (by doing the division or manipulating the fraction):

    [tex]
    y = \frac{x}{{x - 1}} = \frac{{x - 1 + 1}}{{x - 1}} = \frac{{x - 1}}{{x - 1}} + \frac{1}{{x - 1}} = 1 + \frac{1}{{x - 1}}
    [/tex]
     
  10. Mar 9, 2006 #9
    ahh ok... THANKYOU so much, i think it works... subing into the original equation... like 3+1.5 and 3*1.5 both = wooohopo thanks
     
  11. Mar 9, 2006 #10

    TD

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    You're welcome :smile:
     
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