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Lake Zurich High School

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Presentation on theme: "Lake Zurich High School"— Presentation transcript:

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


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