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Identify the quotient in the form a + bi.1+6i/-3+2i

User Qqq
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1 Answer

5 votes

The given equation is,


(1+6i)/(-3+2i)

now, multiply with a conjugate -3-2i.


\begin{gathered} (1+6i)/(-3+2i)\cdot(-3-2i)/(-3-2i)=(9-20i)/(13) \\ =(9)/(13)-(20)/(13)i \end{gathered}

the answer is


(9)/(13)-(20)/(13)i

User Dan Walters
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