SOLUTION: (1+2i)/(3-4i)+(2-i)/5i

Question 933635: (1+2i)/(3-4i)+(2-i)/5i

Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

...common denominator is , so add numerators

....multiply both by to eliminate from denominator

........divide both by

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(1+2i)/(3-4i)+(2-i)/5i
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Rationalize the DEN's first
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(1+2i)*(3+4i)/25 + (2-i)*i/(-5)
= (3 + 10i - 8)/25 + (2i+i)/(-5)
= (3 + 10i - 8)/25 - (1 + 2i)/5
= (-5 + 10i)/25 - (1 - 2i)/5
= (-1 + 2i)/5 - (1 + 2i)/5
= -2/5
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