Simplify the following quotient of complex numbers into the form a + bi.
-8-5i/6-3i

Question

Simplify the following quotient of complex numbers into the form a + bi. 
-8-5i/6-3i

anonymous · Answer

-33-54i/45

alfie · Answer

$$\frac{8-5i}{6-3i} * \frac{6+3i}{6+3i}$$

Recall the properties of complex conjugates, and i^2 = -1 and solve ;)

anonymous · Answer

Alfie thanks see i would have missed that I keep confusing myself on these types of problems  then get frustrated and want to throw my computer across the room.

alfie · Answer

You're welcome, actually they are not too hard, each time you have a division you have to get rid of the i at the denominator so you multiply and divide for the complex conjugate.
Then you have to do the products at the numerator, you'll have to recall that i^2 = -1.
Now you are good to go. :)

anonymous · Answer

yes thank you

anonymous · Answer

when you are done verify with my answer above

anonymous · Answer

-48-24i-30i-15i^2/36+18i-18i-9i^2
=-48-54i+15/36+9
=33-54i/45