SOLUTION: how do you simplify -6+3i divided by 8-9i?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: how do you simplify -6+3i divided by 8-9i?      Log On


   

Question 174683: how do you simplify -6+3i divided by 8-9i?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
simplify -6+3i divided by 8-9i
----------------
Multiply numerator and denominator by 8+9i to get:
= [(-6+3i)(8+9i)]/[8^2 - (9i)^2]
= [-48 -54i+24i-27]/[64 + 81]
= [-75 - 76i] / 145
=======================
Cheers,
Stan H.