About This Chapter
How it works:
- Identify which concepts are covered on your complex and imaginary numbers homework.
- Find videos on those topics within this chapter.
- Watch fun videos, pausing and reviewing as needed.
- Complete sample problems and get instant feedback.
- Finish your complex and imaginary numbers homework with ease!
Topics from your homework you'll be able to complete:
- Defining an imaginary number
- Adding and subtracting complex numbers
- Multiplying and dividing complex numbers
- Graphing complex numbers on complex planes
- Solving quadratic equations
1. What is an Imaginary Number?
The imaginary number 'i' is the square root of -1. Although this number doesn't actually exist, pretending that it does allows us to do a bunch of crazy math that scientists use every day. Learn the basics of that number 'i' here!
2. How to Add, Subtract and Multiply Complex Numbers
Knowing that complex numbers exist is the first step. But that knowledge alone won't help you do much with them. Learn the basics of complex number addition, subtraction and multiplication here!
3. How to Divide Complex Numbers
While adding, subtracting and multiplying complex numbers is pretty straightforward, dividing them can be pretty tricky. It comes down to the process of multiplying by the complex conjugate. Learn about what that is, and how to do it, here.
4. How to Graph a Complex Number on the Complex Plane
Graphing complex numbers is pretty straight forward, but it's not necessarily intuitive. Check out this lesson to learn the vocabulary and the conventions that you'll need.
5. How to Solve Quadratics with Complex Numbers as the Solution
When you solve a quadratic equation with the quadratic formula and get a negative on the inside of the square root, what do you do? The short answer is that you use an imaginary number. For the longer, more helpful answer, check out this lesson!
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Other chapters within the High School Algebra II: Homework Help Resource course
- Algebra II - Basic Arithmetic Review: Homework Help
- Homework Help for Algebraic Expressions and Equations - Algebra II
- Algebra II - Real Numbers: Homework Help
- Algebra II Homework Help: Exponents & Exponential Expressions
- Algebra II - Properties of Functions Review: Homework Help
- Algebra II - Linear Equations Review: Homework Help
- Algebra II - Systems of Linear Equations: Homework Help
- Algebra II - Inequalities Review: Homework Help
- Algebra II - Matrices and Determinants: Homework Help
- Algebra II - Absolute Value Review: Homework Help
- Algebra II - Polynomials: Homework Help
- Algebra II - Factoring: Homework Help
- Algebra II Homework Help: Quadratic Equations
- Algebra II - Rational Expressions: Homework Help
- Algebra II - Graphing and Functions: Homework Help
- Algebra II - Roots and Radical Expressions Review: Homework Help
- Algebra II - Quadratic Equations: Homework Help
- Algebra II - Exponential and Logarithmic Functions: Homework Help
- Algebra II - Conic Sections: Homework Help
- Algebra II - Sequences and Series: Homework Help
- Algebra II - Sets: Homework Help
- Algebra II - Combinatorics: Homework Help
- Algebra II Percents & Proportions: Homework Help
- Algebra II - Statistics: Homework Help
- Algebra II - Trigonometry: Homework Help