SOLUTION: What does the quotient equal? {{{(3+i)/(2-3i)}}}

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Question 164498: What does the quotient equal?

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!
What does the quotient equal?


Form the conjugate of the denominator:

The denominator is  so to form
the conjugate we use the first term but
we change the sign of the term in ,
so the conjugate of  is 
Put that over itself. That is, we form the 
fraction  which is just  
in value.

Then we multiply the original expression by
this:



Put parentheses around everything:



Indicate the multiplication of numerators and denominators:



Use FOIL on the top and bottom:







Now replace the 's by 







Make two fractions:



To write it in the form ,



Edwin

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