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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
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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.
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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.
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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 \((4+2i)(3+i)\) ?
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