- #1

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how convert dis to cartesian form!!?!

quation was here

and then i will need to sketch on an argand diagram.

help apreciated thnx

quation was here

and then i will need to sketch on an argand diagram.

help apreciated thnx

Last edited:

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- Thread starter meee
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- #1

- 87

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quation was here

and then i will need to sketch on an argand diagram.

help apreciated thnx

Last edited:

- #2

TD

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- #3

- 87

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ok... { x+yi: x + y = x*y }

like dat?

like dat?

- #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.meee said:ok... { x+yi: x + y = x*y }

like dat?

- #5

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and then divide by xy....

1/x + 1/y = 1

= x + y = 1

= x^2 + y^2 = 1

- #6

TD

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What happens in this step?meee said:1/x + 1/y = 1

x + y = 1

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]

- #7

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howd u do that last step?

- #8

TD

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That one isn't necessary, I split the fraction (by doing the division or manipulating the fraction):meee said:howd u do that last step?

[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]

- #9

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- #10

TD

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You're welcomemeee said:

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