I need help to solve this problem:
Find two complex numbers that add up to 1+4i, their quotient is purely imaginary and the real part of one of them is -1
I've tried to start the exercise, but I honestly have no clue:
z + (1+4i) = -1 +ai
I also do not understand why in one of the solutions given by the lecturer is z = 2 + i (2- sqrt(2)) since the exercise says the real part must be -1.