SOLUTION: Hello, I almost have this problem, but wanted to double check it. 13i/-5-i, I multiplied this with the conjugate of -5 + i, and I get 24 on the bottom, but how would I get 26?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hello, I almost have this problem, but wanted to double check it. 13i/-5-i, I multiplied this with the conjugate of -5 + i, and I get 24 on the bottom, but how would I get 26?       Log On


   

Question 306115: Hello, I almost have this problem, but wanted to double check it.
13i/-5-i, I multiplied this with the conjugate of -5 + i, and I get 24 on the bottom, but how would I get 26?
Thanks again, you guys rock
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%2813i%29%2F%28-5-i%29 * %28-5%2Bi%29%2F%28-5%2Bi%29 = %28-65i%2B13i%5E2%29%2F%2825+-+%28i%5E2%29%29 = %28-65i%2B13%28-1%29%29%2F%2825+-+%28-1%29%29 = %28-65i-13%29%2F%2825+%2B+1%29 = %28-65i-13%29%2F26
reduce the fraction to
%28-5i-1%29%2F2 = -.5 - 2.5i