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3-9 Imaginary Numbers Objective: Classify numbers into sets. Combine like terms with radicals. Introduce and learn to use and simplify and solve equations using imaginary numbers.

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CComplex RReal Q or IIrrational QRational ZIntegers W Whole NNatural

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Combining Like Terms with Radicals

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Definition of i

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Simplify r1 r2 r3 r0

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Simplify r1 r2 r3 r0

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is imaginary using

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Simplify

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Any number in the form of a + bi is a complex number. (real) (pure imaginary) (complex)

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Simplify (8 – 5i) + (2 + i) (4 + 7i) – (2 + 3i)

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Simplify (4 + 2i)(3 – 5i)

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Solve. x 2 + 4x + 5 = 0

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3.4 Complex Numbers. To make it possible to solve all quadratic equations, mathematicians invented an expanded number system called the complex number.

3.4 Complex Numbers. To make it possible to solve all quadratic equations, mathematicians invented an expanded number system called the complex number.

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