SOLUTION: Dividing Complex numbers: The question: (5-6i)(4+7i)/(2+i)(5-6i) I tried multiplying the numerator and denominator to get a single term and got an answer of 915+610i. Then I tri

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Dividing Complex numbers: The question: (5-6i)(4+7i)/(2+i)(5-6i) I tried multiplying the numerator and denominator to get a single term and got an answer of 915+610i. Then I tri      Log On


   

Question 679765: Dividing Complex numbers: The question:
(5-6i)(4+7i)/(2+i)(5-6i) I tried multiplying the numerator and denominator to get a single term and got an answer of 915+610i. Then I tried multiplying the conjugate of 2+i with the same results. What am I missing? The answer key says the answer is 5+6i. How do I do this type of problem? I would appreciate the steps as I have others and need an example to follow.
Much appreciated.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Your answer key is wrong.



Note the common factor in numerator and denominator:



Now multiply by the conjugate of the denominator multiplied by itself.




John

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