Divide the following complex numbers (5i)/(4+3i)
2 answers:
To divide these complex numbers you have to multiply by the conjugate of the denominator. That will look like this: 
. Multiply straight across the top and straight across the bottom to get 
. In the denominator, the 12i and -12i cancel each other out, which is nice. Now, in both the numerator and the denominator we have an i-squared. i-squared is equal to -1, so we will make that substitution in our solution: 
. Doing the math on that we have 
. We can simplify that as well as write it in standard form: 
. Now we will get it into legit standard form, separating the real part of the complex number from the imaginary part. 
. That can be reduced to its final answer of 
. There you go!
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