Imaginary Numbers Essential Question: How do we take the square root of negative numbers?

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Presentation transcript:

Imaginary Numbers Essential Question: How do we take the square root of negative numbers?

You can't take the square root of a negative number, right? When we were young and still in Algebra I, no numbers that, when multiplied by themselves, gave us a negative answer. Squaring a negative number always gives you a positive. (-1)² = 1. (-2)² = 4 (-3)² = 9

So here’s what the math people did: They used the letter “i” to represent the square root of (-1). “i” stands for “imaginary” So, does really exist?

Examples of how we use

Ex: Solve x 2 + 6x +10 = 0 a = 1 b = 6 c = 10 1 st 2 nd

Ex: Solve x 2 + 3x +5 = 0 a = 1 b = 3 c = 5

Assignment TEXT p.206 (1 – 4, 30 – 33)

“Imaginary Number”