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

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 Algebra: Complex Numbers Solvers Lessons Answers archive Quiz In Depth

 Question 164498: What does the quotient equal? Answer by Edwin McCravy(8999)   (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```