Complex Numbers Properties & Powers of i

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Presentation transcript:

Complex Numbers 1 2 3 Properties & Powers of i Operations with Complex Numbers 3 Practice Problems www.themegallery.com

Properties of i www.themegallery.com

Powers of i www.themegallery.com

Addition and Multiplication of Complex Numbers Treat as you would a variable Remember the powers of i www.themegallery.com

Addition of Complex Numbers Example www.themegallery.com

Multiplication of Complex Numbers Example www.themegallery.com

More Examples of Operations with Complex Numbers www.themegallery.com

Even More Examples of Operations with Complex Numbers www.themegallery.com

And Even More Examples of Operations with Complex Numbers www.themegallery.com

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

Quotients of Complex Numbers Example www.themegallery.com

Quotients of Complex Numbers Example www.themegallery.com

Roots of Negative Numbers www.themegallery.com

Quadratic Equation with Complex Solutions

Equation with Complex Solutions www.themegallery.com

Practice Problems Page 102 Problems 1-34 www.themegallery.com