I have a few complex equations that I am having trouble solving for homework. 1. The problem statement, all variables and given/known data Solve for all possible values of the real numbers x and y. A. (x+iy)2 = (x-iy)2 B. (x + iy + 2 + 3i)/(2x + 2iy - 3) = i + 2 C. Abs[1 - (x + iy)] = x + iy 2. Relevant equations The example problem in the book says that we should separately solve the real and complex parts. That is what I try to do. 3. The attempt at a solution A. Expanding both sides, I simply get x2 - y2 = x2 - y2 for the real parts. I don't know what to do with that information. For the imaginary parts, I get 2ixy = -2ixy. So I get plus-or-minus y = plus-or-minus x. The answer in the back is x = 0 for any real y OR y = 0 for any real x. How did they get this? B. Again, separating out the real and imaginary components: (x + 2)/(2x - 3) = 2 Solving this, I get 8/3. For the imaginary part, I get (y + 3)/(2y) = 1. This yields y = 3. The answer in the back is x = 36/13 and y = 2/13. C. I don't know how to deal with the absolute value in this one. The answer is y = 0, x = 1/2. I solved many other problems using the separation of real and imaginary components strategy, but these don't seem to work. Some help would be appreciated!