Question

How do you divide `5/(1+i)`?

Answer 1

I found `2.5-2.5i`

Explanation:

Multiply and divide by the complex conjugate of the denominator:
`5/(1+i)*color(red)((1-i)/(1-i))=(5-5i)/(1-i+i-i^2)=`
Where `i^2=-1`:

`=(5-5i)/2=5/2-5/2i=`

`=2.5-2.5i`