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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 on theme: "4.8 Complex numbers P248-252. Imaginary numbers happen when you have a negative number under the radical sign. Imaginary (complex) numbers will ALWAYS."— Presentation transcript:

1 4.8 Complex numbers P248-252

2 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.

3 Substitutions you MUST make when working with imaginary numbers.

4 Ex1) Simplify the radical.

5 Ex3a)

6 Ex3b)

7 Ex4a)

8 Ex4b)

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

10 Ex5a)

11 Ex5b)

12 Ex6) Factor

13 Ex7) Find ALL solutions (not just real ones)


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