SOLUTION: write the quotient in standard form 8+4i ____ 3-5i or 8+4i/3-5i

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Question 471476: write the quotient in standard form 8+4i
____
3-5i
or 8+4i/3-5i
Found 3 solutions by Alan3354, Tatiana_Stebko, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(8+4i)/(3-5i)
-----------
Multiply NUM and DEN by the conjugate of the DEN, 3 + 5i
--------
= (8+4i*)*(3+5i)/(3-5i)*(3+5i)
= (24 - 20 + 52i)/(9 + 25)
= (4 + 52i)/34
= (2 + 26i)/17

Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
%288%2B4i%29%2F%283-5i%29} multiply numerator and denominator by %283%2B5i%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%288%2B4i%29%2F%283-5i%29
=%28+%288%2B4i%29%283%2B5i%29%29%2F%28%283-5i%29%283%2B5i%29%29
=%28+24%2B40i%2B12i%2B20i%5E2%29%2F%283%5E2%2B15i-15i-%285i%29%5E2%29
=%28+24%2B52i%2B20%28-1%29%29%2F%289-25%28-1%29%5E2%29
=%28+24%2B52i-20%29%2F%289%2B25%29
=%28+4%2B52i%29%2F34
= 4%2F34%2B52i%2F34
=2%2F17%2B26i%2F17