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Mathematics

OpenStudy (anonymous):

does anyone know a general statement for something in cartesian form?

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OpenStudy (anonymous):

For complex numbers? a +/- bi

OpenStudy (anonymous):

for a circle it is x^2+y^2 = r^2

OpenStudy (anonymous):

hm ok i've got z = 3+i / 3-i

OpenStudy (anonymous):

multiply the numerator and denominator by the conjugate of 3-i

OpenStudy (anonymous):

(3+i)^2 / 9-i^2

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OpenStudy (anonymous):

i^2 = -1

OpenStudy (anonymous):

so it is (3+i)^2 /10

OpenStudy (anonymous):

or (8+6i)/10

OpenStudy (anonymous):

Or (4/5) + (3/5)i...standard form

OpenStudy (anonymous):

gah so intuitive i miss it

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OpenStudy (anonymous):

heh, it happens to all of some time or the other :)

OpenStudy (anonymous):

i feel like it happens to me all the time, do you know anything i could practice to stop that?

OpenStudy (anonymous):

I guess it takes time not to miss these things. In general, if you are dealing with complex numbers, keep a checklist of things you should be on the lookout for 1) conjugates 2) i^2 =-1 that sort of thing.

OpenStudy (anonymous):

and everything i've learnt previously :(

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