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

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Presentation transcript:

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.

CComplex RReal Q or IIrrational QRational ZIntegers W Whole NNatural

Combining Like Terms with Radicals

Definition of i

Simplify r1 r2 r3 r0

Simplify r1 r2 r3 r0

is imaginary using

Simplify

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

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

Simplify (4 + 2i)(3 – 5i)

Solve. x 2 + 4x + 5 = 0