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Complex Numbers and Solving Equations
Honors Algebra II with Trig. Ms. Lee
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Essential Stuff Essential Question Essential Vocabulary
How do you simplify expressions involving complex numbers? Essential Vocabulary Imaginary Number Complex Number Complex Conjugate
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Imaginary Numbers Not all quadratic equations have real number solutions, so to overcome this problem, mathematicians created an expanded system of numbers using the imaginary unit π’
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Imaginary Unit, π π= βπ π π =βπ These properties allow us to simply the square root of a negative number.
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Complex Numbers A complex number is a number that contains a real and an imaginary part. The standard form: π+ππ Real Imaginary
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Add/Subtract/Multiply
Add and Subtract Combine Like Terms Write in Standard Form Multiply FOIL Replace π π with βπ Combine Like Terms/Standard Form
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Dividing with Complex Numbers
Divide Multiply the numerator and denominator by the complex conjugate Complex conjugates are two complex numbers of the form: π+ππ and πβππ
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The product of complex conjugates will always be a real number.
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Homework Homework 5.6: Complex Numbers
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Homework: Page 35 Problems 4, 6, 8, 14
Pages Problems 16 β 32 even, 51, 53, 54, 56, 74
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