SOLUTION: What is 7+ 4i divided by 9 - 3i?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: What is 7+ 4i divided by 9 - 3i?      Log On


   



Question 265950: What is 7+ 4i divided by 9 - 3i?
Found 2 solutions by drk, Alan3354:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
we are given
%287%2B+4i%29 / %289+-+3i%29
step 1 - multiply by the conjugate to get
%287%2B4i%29%289%2B3i%29 / %289%2B3i%29%289+-+3i%29
step 2 - we simplify the numerator and denominator as
%2863%2B21i%2B36i%2B12i%5E2%29 / %2881-9i%5E2%29
now, i^2 = -1, so we get
%2851%2B57i%29%2F90
however, we can reduce by 3 and get
%2817%2B19i%29%2F30

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You can make an Excel sheet to do these.