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Imaginary Number: POWERS of i: Is there a pattern? Ex:

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Presentation on theme: "Imaginary Number: POWERS of i: Is there a pattern? Ex:"— Presentation transcript:

1 Imaginary Number: POWERS of i: Is there a pattern? Ex:

2 Example 1:Simplifying Powers of i [A] [B] [C] [D] [E]

3 Example 2Simplify Square Roots of Negative Numbers [A] [B] [E] [F] [C] [D]

4 Example 3Multiplying Pure Imaginaries 1 st : Convert all square roots into imaginary number notation [A][B] [C][D] [E] [F]

5 Example 4: Operations with Complex Numbers Complex Number: binomial term of real and imaginary # (a +bi) [A] [C] Add and Subtract: Combine Like Terms Multiply: FOIL, Distributive Property, Laws of Exponents Division: Rationalize with Conjugates [B] [D]

6 Example 5: Simplifying Using Complex Conjugates [D] [E] [A] [B] [C]

7 Example 6: Equations with Imaginary Solutions [A] [B] Additional examples to come with quadratic formula [C] [D]

8 PRACTICE: Equations with Imaginary Solutions [A] [B] [C] [D]


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