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HomeNY Regents Algebra IIMathematicsComplex Numbers › Add the complex numbers 5 - 2i and 3 + 7i. What …

Add the complex numbers 5 - 2i and 3 + 7i. What is the sum?

A8 - 5i
B2 + 5i
C8 + 5i
D15 - 14i
Answer & Solution
Correct answer: C. 8 + 5i
1. Adding complex numbers combines the real parts and combines the imaginary parts separately. 2. The real parts give 5 plus 3, which is 8. 3. The imaginary parts give negative 2 plus 7, which is 5. 4. So the sum is 8 + 5i, and subtracting instead would have given 2 - 9i. _Source: OpenStax Precalculus (CC BY 4.0), section 3.1 Complex Numbers_
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