Question 30908: perform the indicated operation and simplify:
1+3i/1-2i
Answer by kietra(57)   (Show Source):
You can put this solution on YOUR website! (1+3i)/(1-2i)
In imaginary numbers, there's a rule that you can never have an i in the denominator. To get rid of that, you multiply by the inverse of (1-2i) which is (1+2i) in both the denominator and numerator. You must use FOIL to multiply the numbers.
(1+3i)/(1-2i)* (1+2i)/(1+2i). Multiply numerators together and denominators.
(1+3i)(1+2i)/(1-2i)(1+2i)
(1 + 2i + 3i + 6i^2)/(1 -2i + 2i - 4i^2)
(1 + 5i + 6(-1))/(1 -4(-1))
(1-6 + 5i)/(1 + 4)
(-5 + 5i)/(5) =now reduce
5(-1 + i)/5
-1 + i
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