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Exploring Complex Numbers: Definitions and Operations

Dive into the world of complex numbers, from the imaginary unit to solving equations. Learn to add, subtract, multiply, and divide complex numbers, and tackle problems step by step. Practice with exercises for a deeper understanding.

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Exploring Complex Numbers: Definitions and Operations

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Presentation Transcript

  1. Solve for x. 1. 2. Warm Up

  2. Complex Numbers Chapter 4 Section 6

  3. How Many Solutions?

  4. Let’s Talk About This

  5. The Imaginary Unit is defined as . • Then Definition

  6. The i Chart

  7. Hm…

  8. If is a positive real number, then It follows that Square Root of a Negative

  9. Let’s Solve

  10. Solve Again

  11. Your Turn

  12. Imaginary Part Real Number Part What is a Complex Number?

  13. Write as a complex number in standard form: 1. 2. Add and Subtract

  14. Write the expression as a complex number in standard form. Multiply Complex Numbers

  15. Write the quotient in standard form. Complex Conjugates

  16. Write the quotient in standard form. Again

  17. Write the expressions as complex numbers in standard form. 1. 2. 3. 4. Your Turn

  18. Page 279 # 4-32 evens Homework

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