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
![The task is to subtract the complex numbers:
\[
(4 - 6i) - (6 - 4i)
\]
Write your answer as a complex number in standard form.
**Solution:**
To solve this, subtract the real and imaginary parts separately:
1. **Real Part:**
\[
4 - 6 = -2
\]
2. **Imaginary Part:**
\[
-6i - (-4i) = -6i + 4i = -2i
\]
So, the answer in standard form is:
\[
-2 - 2i
\]
### Tools:
- **Box for Input:** A rectangular box is provided for entering the answer.
- **Symbols and Operations:** The area includes buttons and symbols used for formatting complex numbers, including an "i" for imaginary numbers.
To proceed with entering your solution, click "Continue".](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F651c4844-d23e-42f9-bd70-0ed556641800%2Fbd5f08d0-b116-47dc-8cd9-912d4b953f09%2Fshd9bf8.jpeg&w=3840&q=75)
Transcribed Image Text:The task is to subtract the complex numbers:
\[
(4 - 6i) - (6 - 4i)
\]
Write your answer as a complex number in standard form.
**Solution:**
To solve this, subtract the real and imaginary parts separately:
1. **Real Part:**
\[
4 - 6 = -2
\]
2. **Imaginary Part:**
\[
-6i - (-4i) = -6i + 4i = -2i
\]
So, the answer in standard form is:
\[
-2 - 2i
\]
### Tools:
- **Box for Input:** A rectangular box is provided for entering the answer.
- **Symbols and Operations:** The area includes buttons and symbols used for formatting complex numbers, including an "i" for imaginary numbers.
To proceed with entering your solution, click "Continue".
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