About This Chapter
How it works:
- Identify which concepts are covered on your complex 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 numbers homework with ease!
Topics from your homework you'll be able to complete:
- Using imaginary and complex numbers
- Performing arithmetic operations with complex numbers
- Graphing complex numbers
- Solving quadratics with complex solutions
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 College Algebra: Homework Help Resource course
- Linear Equations: Homework Help
- Matrices and Absolute Value: Homework Help
- Overview of Inequalities: Homework Help
- Factoring with FOIL, Graphing Parabolas and Solving Quadratics: Homework Help
- Working with Exponents and Polynomials: Homework Help
- Identifying and Working with Functions: Homework Help
- Rational Expressions: Homework Help
- Exponentials and Logarithms: Homework Help
- Probability Mechanics: Homework Help
- Sequences and Series: Homework Help