4.8 Complex numbers P248-252. Imaginary numbers happen when you have a negative number under the radical sign. Imaginary (complex) numbers will ALWAYS.

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Presentation transcript:

4.8 Complex numbers P

Imaginary numbers happen when you have a negative number under the radical sign. Imaginary (complex) numbers will ALWAYS be written in the form a + bi. They follow all arithmetic and algebra rules except that they cannot have exponents.

Substitutions you MUST make when working with imaginary numbers.

Ex1) Simplify the radical.

Ex3a)

Ex3b)

Ex4a)

Ex4b)

Complex conjugates: a + bi, a – bi **notice only the imaginary part changes sign.

Ex5a)

Ex5b)

Ex6) Factor

Ex7) Find ALL solutions (not just real ones)