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Published byAnna Rathburn Modified over 2 years ago

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Warm-Up

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5-4 Complex Number

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CA Standard SWBAT: Understand how real and complex numbers are related Add, subtract, multiply, and divide complex numbers

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SOLVE 3x = 0 3x 2 = -15 x 2 = - 5 x = What do we do now?

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Rene Descartes proposed a solution. He proposed that the solution to the equation x 2 = -1 be represented by a number i where i is not a real number. Thus, i =

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Pure Imaginary Numbers For any positive real number b, where i is the imaginary unit, and bi is called a pure imaginary number.

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So lets go back and solve 3x = 0 x 2 = - 5 x =

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Example 1: Simplify the expression

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Example 2: Your Turn

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Expansion If, what is i 2 equal to?

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Expansion

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Notice Anything? They repeat. So what is i 10 ? How about i 25 ? So does this help?

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Example 3: Simplify 1. 2.

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Example 4: Your Turn Simplify

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Your Homework pg. 264 #22-33

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