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**Complex Numbers 1 2 3 Properties & Powers of i**

Operations with Complex Numbers 3 Practice Problems

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Properties of i

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Powers of i

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**Addition and Multiplication of Complex Numbers**

Treat as you would a variable Remember the powers of i

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**Addition of Complex Numbers Example**

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**Multiplication of Complex Numbers Example**

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**More Examples of Operations with Complex Numbers**

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**Even More Examples of Operations with Complex Numbers**

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**And Even More Examples of Operations with Complex Numbers**

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**Quotients of Complex Numbers**

Solve as you would with a radical in the denominator Multiply by a quotient which simplifies to 1 and whose denominator when multiplied by the denominator of the original problem creates a real number In the case of a polynomial, multiply the conjugate (i.e ) NEVER leave a complex number in the denominator

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**Quotients of Complex Numbers Example**

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**Quotients of Complex Numbers Example**

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**Roots of Negative Numbers**

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**Quadratic Equation with Complex Solutions**

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**Equation with Complex Solutions**

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Practice Problems Page 102 Problems 1-34

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1.3 Complex Number System.

1.3 Complex Number System.

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