SOLUTION: 5-i divided by 3-2i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: 5-i divided by 3-2i      Log On


   

Question 60247: 5-i divided by 3-2i
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
%285-i%29%2F%283-2i%29 Multiply the numerator and the denominator by the conjugate of the denominator: (3+2i)
%285-i%29%283%2B2i%29%2F%28%283-2i%29%283%2B2i%29%29
%285%283%2B2i%29-i%283%2B2i%29%29%2F%283%283%2B2i%29-2i%283%2B2i%29%29
%2815%2B10i-3i-2i%5E2%29%2F%289%2B6i-6i-4i%5E2%29 (i^2=-1)
%2815%2B7i-2%28-1%29%29%2F%289-4%28-1%29%29
%2815%2B7i%2B2%29%2F%289%2B4%29
%2817%2B7i%29%2F13
highlight%2817%2F13%2B%287%2F3%29i%29 <---standard form a+bi
Happy Calculating!!!