Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
1. Equations & Inequalities
Complex Numbers
2:08 minutes
Problem 51
Textbook Question
Textbook QuestionFind each sum or difference. Write answers in standard form. (2-5i) - (3+4i) - (-2+i)
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Complex Numbers
Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part and b is the coefficient of the imaginary unit i. Understanding how to manipulate complex numbers is essential for performing operations such as addition and subtraction.
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Addition and Subtraction of Complex Numbers
To add or subtract complex numbers, combine their real parts and their imaginary parts separately. For example, when subtracting (2 - 5i) - (3 + 4i), you would calculate (2 - 3) for the real parts and (-5 - 4) for the imaginary parts, resulting in a new complex number.
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Standard Form of Complex Numbers
The standard form of a complex number is a + bi, where a and b are real numbers. When solving problems involving complex numbers, it is important to express the final answer in this form to clearly indicate the real and imaginary components.
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