Question

How do you simplify `2 + 7i div 1-3i`?

Answer 1

`(2+7i)/(1-3i)`

Multiply and divide by `1+3i`.

`implies (2+7i)/(1-3i)=((2+7i)(1+3i))/((1-3i)(1+3i))=(2+6i+7i+21i^2)/(1-9i^2)=(2+13i-21)/(1+9)=(-19+13i)/10=-19/10+(13i)/10`

`implies (2+7i)/(1-3i)=-19/10+(13i)/10`