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5-4 Complex Number
CA Standard SWBAT: Understand how real and complex numbers are relatedAdd, subtract, multiply, and divide complex numbers
SOLVE 3x = 0 3x2 = -15 x2 = - 5 x = What do we do now?
What do we do now? Thus, i = Rene Descartes proposed a solution.He proposed that the solution to the equation x2 = -1 be represented by a number i where i is not a real number. Thus, i =
Pure Imaginary NumbersFor any positive real number b, where i is the imaginary unit, and bi is called a pure imaginary number.
So let’s go back and solve3x = 0 x2 = - 5 x =
Example 1: Simplify the expression 1. 2. 3.
Example 2: Your Turn 1. 2. 3.
Expansion If , what is i2 equal to?
They repeat. So what is i10 ? How about i25? So does this help?Notice Anything? They repeat. So what is i10 ? How about i25? So does this help?
Example 3: Simplify 1. 2.
Example 4: Your Turn Simplify
pg. 264 #22-33 Your Homework
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© 2010 Pearson Education, Inc. All rights reserved
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