Question

The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 22i. Which statement must be true about the complex numbers?

Answer 1

Answer: the answer is D

Explanation:

Answer 2

Answer: The complex numbers have opposite real numbers.

This a prove of that conclusion:

Let A + Xi be one complex number and B + Yi the other complex number, then:

A + Xi + B + Yi = 0 + 22i

=> A + B = 0 => A = -B, which means that the real part of one of the complex number is the opposite of the real part of other complex number. The imaginary part is not relevan for the question.