Question

Divide the following complex numbers

Answer 1

`((3+i))/((2-3i))=((3+i)(2+3i))/((2-3i)(2+3i))=(6+9i+2i+3i^2)/(2^2-(3i)^2)=(6+11i-3)/(4-9i^2)=(3+11i)/(4+9)=(3+11i)/(13)=\\ =\boxed{(3)/(13)+ (11)/(13)i} \Rightarrow \hbox{the answer is D}`