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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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