Question

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

Answer 1

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`