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fjamie295 fjamie295
  • 17-12-2014
  • Mathematics
Answered

What's the quotient of I?

5+5i divided by 2+I

Verified Answer :

Anonymous Anonymous
  • 31-12-2014

\(if\ "i"\ is\ the\ imaginary\ unit:\sqrt{-1}=i\Rightarrow i^2=-1\\\\then\\\\\frac{5+5i}{2+i}=\frac{5+5i}{2+i}\cdot\frac{2-i}{2-i}=\frac{10-5i+10i+5i^2}{2^2-i^2}=\frac{10+5i-5}{4+1}=\frac{5+5i}{5}=\boxed{1+i}\)

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