Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![**Complex Number Addition**
**Problem Statement:**
Add the given complex numbers and write the result in the form \(a + bi\).
**Expression:**
\((7 - 9i) + (-6 + 5i)\)
**Solution:**
To add the complex numbers, combine the real parts and the imaginary parts separately:
- Real part: \(7 + (-6) = 1\)
- Imaginary part: \(-9i + 5i = -4i\)
**Result:**
The sum is \(1 - 4i\).
**Explanation:**
When adding complex numbers, you simply add their real parts together and their imaginary parts together. The expression \(a + bi\) represents a complex number where \(a\) is the real part and \(b\) is the imaginary part.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d59e81a-3610-4fe8-95bd-8152142fc5c0%2F1e5fceec-b4d6-403e-baae-fd1684239118%2F4mxkoil_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Complex Number Addition**
**Problem Statement:**
Add the given complex numbers and write the result in the form \(a + bi\).
**Expression:**
\((7 - 9i) + (-6 + 5i)\)
**Solution:**
To add the complex numbers, combine the real parts and the imaginary parts separately:
- Real part: \(7 + (-6) = 1\)
- Imaginary part: \(-9i + 5i = -4i\)
**Result:**
The sum is \(1 - 4i\).
**Explanation:**
When adding complex numbers, you simply add their real parts together and their imaginary parts together. The expression \(a + bi\) represents a complex number where \(a\) is the real part and \(b\) is the imaginary part.
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