SOLUTION: I need to find the quotient for 2+i over 1+3i. I know about multiplying by the conjugate, and I get 5-5i over 10, which simplifies to 1-i over 2. Is this the same as 1/2-1/2 i? (Th

Question 78944: I need to find the quotient for 2+i over 1+3i. I know about multiplying by the conjugate, and I get 5-5i over 10, which simplifies to 1-i over 2. Is this the same as 1/2-1/2 i? (This is not a textbook problem, rather it is a take-home test. My teacher said we could use the internet.)
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!

Multiply numerator and denominator by complex conjugate:

So you did this right. And yes, you can distribute the denominator if you want to:
is also correct.
Good Luck,
tutor_paul@yahoo.com
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