# Ch 13: High School Algebra - Complex and Imaginary Numbers: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other high school algebra I work.
- Identify the complex and imaginary numbers concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our high school algebra I tutoring solution will benefit any student who is trying to learn complex and imaginary numbers and earn better grades. This resource can help students including those who:

- Struggle with understanding how to add, subtract, multiply or divide complex numbers, graph numbers on the complex plane or any other complex and imaginary numbers topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their complex and imaginary numbers unit
- Cope with ADD or ADHD
- Want to get ahead in high school algebra I
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning complex and imaginary numbers simple and fun.**Cost Efficient:**For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality:**Unlike a live high school algebra I tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn complex and imaginary numbers on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Define imaginary numbers.
- Add, subtract, multiply and divide complex numbers.
- Graph complex numbers on the complex plane.
- Solve quadratics that have complex numbers as the solution.

### 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

Other chapters within the High School Algebra I: Tutoring Solution course

- High School Algebra - Basic Arithmetic: Tutoring Solution
- High School Algebra - Solving Math Word Problems: Tutoring Solution
- High School Algebra - Decimals and Fractions: Tutoring Solution
- High School Algebra - Percent Notation: Tutoring Solution
- High School Algebra - Real Numbers: Tutoring Solution
- High School Algebra - Exponents and Exponential Expressions: Tutoring Solution
- High School Algebra - Radical Expressions: Tutoring Solution
- High School Algebra - Algebraic Expressions and Equations: Tutoring Solution
- High School Algebra - Properties of Functions: Tutoring Solution
- High School Algebra - Matrices and Absolute Value: Tutoring Solution
- High School Algebra - Working With Inequalities: Tutoring Solution
- High School Algebra - Properties of Exponents: Tutoring Solution
- High School Algebra - Algebraic Distribution: Tutoring Solution
- High School Algebra - Linear Equations: Tutoring Solution
- High School Algebra - Factoring: Tutoring Solution
- High School Algebra - Graphing and Factoring Quadratic Equations: Tutoring Solution
- High School Algebra - Properties of Polynomial Functions: Tutoring Solution
- High School Algebra - Rational Expressions: Tutoring Solution
- High School Algebra - Cubic Equations: Tutoring Solution
- High School Algebra - Quadratic Equations: Tutoring Solution
- High School Algebra - Measurement and Geometry: Tutoring Solution
- High School Algebra - Calculations, Ratios, Percent & Proportions: Tutoring Solution
- High School Algebra - Data, Statistics, and Probability: Tutoring Solution
- High School Algebra - Well-Known Equations: Tutoring Solution