1. Lake Zurich High School
Complex Numbers
By: Jeffrey Bivin
Lake Zurich High School
Last Updated: October 31, 2005

2. The Imaginary Unit
Imaginary Numbers
Jeff Bivin -- LZHS

3. More about Imaginary Numbers
Jeff Bivin -- LZHS

4. This is fun!
Jeff Bivin -- LZHS

5. Complex Numbers a + bi For any real numbers a and b, the number
is a complex number.
Examples:
Jeff Bivin -- LZHS

6. Complex Number System
Imaginary
Real
Rational
Irrational
Integers
..., -3, -2, -1
Whole
Natural
1, 2, 3, 4, ....
Jeff Bivin -- LZHS

7. Addition & Subtraction
Example 1
Example 2
Example 3
Jeff Bivin -- LZHS

8. Multiplication
Example 1
Example 2
Jeff Bivin -- LZHS

9. Graphing Complex Numbers
imaginary
real
Jeff Bivin -- LZHS

10. Solve using the Quadratic Formula
x2 + 6x + 13 = 0
a = 1
b = 6
c = 13
Jeff Bivin -- LZHS

11. Solve using the Quadratic Formula
3x2 + 7x + 5 = 0
a = 3
b = 7
c = 5
Jeff Bivin -- LZHS

12. Solve using the Quadratic Formula
3x2 - 2x + 5 = 0
a = 3
b = -2
c = 5
Jeff Bivin -- LZHS