SOLUTION: need help again, thanks so much! Find the quotient and write the answer in the form a+bi: -4+5i divided by 2+3i

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: need help again, thanks so much! Find the quotient and write the answer in the form a+bi: -4+5i divided by 2+3i      Log On


   

Question 60683: need help again, thanks so much!
Find the quotient and write the answer in the form a+bi: -4+5i divided by 2+3i
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
need help again, thanks so much!
Find the quotient and write the answer in the form a+bi:
%28-4%2B5i%29%2F%282%2B3i%29
Multiply the top and bottom by the conjugate of the bottom: (2-3i)
%28-4%2B5i%29%282-3i%29%2F%28%282%2B3i%29%282-3i%29%29
%28-8%2B12i%2B10i-15i%5E2%29%2F%284-6i%2B6i-3i%5E2%29
%28-8%2B22i-15%28-1%29%29%2F%284%2B0-9%28-1%29%29
%28-8%2B15%2B22i%29%2F%284%2B9%29
%287%2B22i%29%2F13
7%2F13%2B22i%2F13
highlight%287%2F13%2B%2822%2F13%29i%29
Happy Calculating!!!