# Introduction to Complex Conjugates and Imaginary Numbers

Not what you're looking for?

What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean?

What is the quadratic formula? What is it used for? Provide a useful example.

##### Purchase this Solution

##### Solution Summary

This solution provides an introductory explanation of complex conjugates, imaginary numbers and the quadratic formula.

##### Solution Preview

Complex numbers are numbers that have a REAL part and an IMAGINARY part. It can be written as:

z = a + i*b

a is a real number (any ordinary number you can think of: 10, 15, -23, 3.14159, etc)

i*b is the imaginary part. b is the magnitude. i is called the imaginary number and it is defined as the square root of -1. [ i = sqrt(-1) ] Normally, we cannot take the square root of a negative number, that is why mathematicians included the imaginary number.

What does imaginary parts of equal magnitude and opposite signs mean? COMPLEX CONJUGATES

If the imaginary parts (i*b) are of equal magnitude (b) and opposite signs, it means that the instead of + we use -.

For example, let's say we have the imaginary part z = 3i, then the complex conjugate is z = ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.