SOLUTION: Perform the indicated operation and express the results as a simplified complex number. (Express your answer in the form (a + bi).) 3+4i/2-5i

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Question 1164205: Perform the indicated operation and express the results as a simplified complex number. (Express your answer in the form (a + bi).)
3+4i/2-5i
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Perform the indicated operation and express the results as a simplified complex number. (Express your answer in the form (a + bi).)
%283%2B4i%29%2F%282-5i%29
multiply the discriminant of the denominator over itself. i^2=-1
%283%2B4i%29%2F%282-5i%29 * %282%2B5i%29%2F%282%2B5i%29 = %28%283%2B4i%29%282%2B5i%29%29%2F%28%282-5i%29%282%2B5i%29%29 = %286%2B15i%2B8i%2B20i%5E2%29%2F%284-25i%5E2%29 = %286%2B23i%2B20%28-1%29%29%2F%284-25%28-1%29%29 = %286%2B23i-20%29%2F%284%2B25%29
%28-14%2B23i%29%2F29 = -14%2F29+23%2F29i