ADVANCED PLACEMENT (AP)
COMPUTERS AND TECHNOLOGY
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?
Posted by answersmine
QUESTION POSTED AT 02/12/2019 - 07:55 AM
Answered by answersmine AT 02/12/2019 - 07:55 AM
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.
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