SOLUTION: Okay this is my last question. on this it says... {{{(14-2i)/(3+i)}}} I don't know if that makes sense to you But I think I learned something about taking the conjucate of

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Question 181600: Okay this is my last question.
on this it says...

I don't know if that makes sense to you
But I think I learned something about taking the conjucate of 3+i which is 3-1, but I dont know where to go from there, or if im even doing it right.

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!



Form the conjugate of the denominator, , which is .

Place  over itself, like this .

Anything divided by itself is just 1, so 
equals 1.

When you multiply somthing by 1, it does not change the value.

Therefore we can multiply  by 
without changing the value.  So let's perform 
that multiplication:



Indicate the multiplication of numerators and 
denominator, all as one fraction:



Use FOIL to multiply out the numerator and denominators:

 

Combine the like terms in the top.  In the bottom 
the middle two terms cancel, and we have



Now we replace both 's by :







Make two fractions:

   



Edwin

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