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
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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) (Show Source): You can put this solution on YOUR website!
Your answer key is wrong.
(4\ +\ 7i)}{(2\ +\ i)(5\ -\ 6i)})
Note the common factor in numerator and denominator:
Now multiply by the conjugate of the denominator multiplied by itself.
\left(\frac{2\ -\ i}{2\ -\ i}\right)\ =\ \frac{15\ +\ 10i}{5}\ =\ 3\ +\ 2i)
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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