SOLUTION: write in standard form: (8+5i)/(6-4i)

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Question 148302: write in standard form: (8+5i)/(6-4i)

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
%288%2B5i%29%2F%286-4i%29 Start with the given expression.


%28%288%2B5i%29%2F%286-4i%29%29%28%286%2B4i%29%2F%286%2B4i%29%29 Multiply the fraction by %286%2B4i%29%2F%286%2B4i%29


%28%288%2B5i%29%286%2B4i%29%29%2F%28%286-4i%29%286%2B4i%29%29 Combine the fractions.


%2848%2B62i%2B20i%5E2%29%2F%2836-16i%5E2%29 FOIL


%2848%2B62i%2B20%28-1%29%29%2F%2836-16%28-1%29%29 Replace i%5E2 with -1


%2848%2B62i-20%29%2F%2836%2B16%29 Multiply


%2828%2B62i%29%2F%2852%29 Combine like terms.


%2828%29%2F%2852%29%2B%2862i%29%2F%2852%29 Break up the fraction


7%2F13%2B%2831%2F26%29i Reduce


So the expression is now in a+bi form where a=7%2F13 and b=31%2F26