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3 votes
7-4i divided by
2+i
how to solve it?

1 Answer

2 votes

(7-4i)/(2+i) =((7-4i)(2-i))/((2+i)(2-i)) = (14-7i-8i+4i^2)/(2^2 -i^2) \\\\ (14-15i-4)/(4+1) = (10-15i)/(5)= (5(2-3i))/(5) \text{ because } i^2=-1.\\\\ =2-3i.
User Mike Warren
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