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Mathematics 9 Online
OpenStudy (anonymous):

4+2i/3-i

OpenStudy (anonymous):

\[\frac{4+2i}{3-i}\] and you need to write in standard form as \(a+bi\) right?

OpenStudy (anonymous):

Yes.

OpenStudy (gorv):

u know rationalization??

OpenStudy (anonymous):

Uh..no.

OpenStudy (gorv):

ok than multiply and divide by 3+i

OpenStudy (gorv):

in this we have to remove i from denominator

OpenStudy (anonymous):

What is i?

OpenStudy (gorv):

in our Q it is given

OpenStudy (gorv):

it represent imaginary part of complex number

OpenStudy (anonymous):

It's multiple choice.

OpenStudy (gorv):

first multiply with 3+i and divide by it also

OpenStudy (anonymous):

then guess C , it is usually C

OpenStudy (gorv):

loll

OpenStudy (anonymous):

a) 7 + 5i/ 5 b) 5+5i/ 4 c) 7+5i/4 d) 1 + i

OpenStudy (anonymous):

I haven't been having much luck with C lately.

OpenStudy (anonymous):

well then lets do it all

OpenStudy (anonymous):

Huh?

OpenStudy (anonymous):

\[\frac{4+2i}{3-i}\times \frac{3+i}{3+i}\] is a start then since \((a+bi)(a-bi)=a^2+b^2\) a real number, your denominator will be \(9^2+1^2=10\) and you have \[\frac{(4+2i)(3+i)}{10}\]

OpenStudy (anonymous):

all that is left is to multiply out in the top to see what you get

OpenStudy (anonymous):

you know how to multiply \((4+2i)(3+i)\) ?

OpenStudy (anonymous):

10 + 10i?

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