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Mathematics 22 Online
OpenStudy (beccab003):

question

OpenStudy (beccab003):

\[\frac{ (3+i)(4+2i) }{ (3-3i) }\]

OpenStudy (beccab003):

I don't know how to do imaginary numbers with fractions...

OpenStudy (danjs):

k

OpenStudy (beccab003):

Did you get the message with the problem? Sometimes the messages don't post or have a delay or lag.

OpenStudy (beccab003):

Ah! foil! I forgot.

OpenStudy (danjs):

sec

OpenStudy (danjs):

yeah distribute out the numerator

OpenStudy (danjs):

remember i^2=-1

OpenStudy (danjs):

\[\frac{ (3+i)(4+2i) }{ (3-3i) } = \frac{ 12+10i+2i^2 }{ 3-3i }\]

OpenStudy (beccab003):

and then: \[\frac{ 10+10i }{ 3-3i }\]

OpenStudy (danjs):

yeah, then factor out 10 and 3

OpenStudy (beccab003):

how do I do that exactly?

OpenStudy (danjs):

\[\frac{ 10 }{ 3 }*\frac{ 1+i }{ 1-i }\]

OpenStudy (danjs):

now multiply by the conjugate (1+i)/(1+i)

OpenStudy (beccab003):

oh \[\frac{ 10i }{ 3 }\]

OpenStudy (danjs):

yep

OpenStudy (beccab003):

you are an angel sent from heaven to help me with my final! haha! You are wonderful!! :D

OpenStudy (danjs):

oh, i thought you took that... good luck!

OpenStudy (beccab003):

they pushed it to Thursday. haha

OpenStudy (danjs):

oh nice, you will do fine

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