Question 294777: (3 + 3i ) divided by (5 + 4i )
Answer by CharlesG2(834)   (Show Source):
You can put this solution on YOUR website! (3 + 3i ) divided by (5 + 4i )
(3 + 3i)/(5 + 4i)
complex number z in form a + bi
conjugate of complex number z is a - bi
i^2 = -1
multiply top and bottom by the conjugate of 5 + 4i which is 5 - 4i
numerator: (3 + 3i)(5 - 4i) use FOIL
15 - 12i + 15i - 12i^2
15 + 12 + 3i
27 + 3i
denominator: (5 + 4i)(5 - 4i) use FOIL
25 - 20i + 20i - 16i^2
25 + 16
41
answer: (27/41) + (3/41)i
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