Question

How do you divide `(-3-9i)/(5-8i)`?

Answer 1

The answer is `57/89-(69i)/89`

Explanation:

You must multiply numerator and denominator by the conjugate of thedenominator
`(-3-9i)/(5-8i)=((-3-9i)*(5+8i))/((5-8i)(5+8i))=(-15-24i-45i-72i^2)/(25-64i^2)`
as `i^2=-1`
The result is `(-15+72-69i)/(25+64)=(57-69i)/(89)=57/89-(69i)/89`