Add. Write the result in the form a + bi. (7 – 9i) + (–6+ 5i)

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,...
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.
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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