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5.7 Complex Numbers

5.7 Complex Numbers. Goal: Understand and use complex numbers. Warm-up. Simplify: Solve the equation:. It is unfortunate that it is called imaginary because it is used in everything from electricity to economics. Simplify:. Solve:.

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5.7 Complex Numbers

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  1. 5.7 Complex Numbers Goal: Understand and use complex numbers.

  2. Warm-up Simplify: Solve the equation:

  3. It is unfortunate that it is called imaginary because it is used in everything from electricity to economics. Simplify:

  4. Solve:

  5. A complex number is a number that can be written in a + bi form (standard form). a and b are real numbers. Complex Number System Real Numbers (b = 0) Imaginary Numbers (b ≠ 0) Pure Imaginary (a = 0)

  6. To add complex numbers, add their real parts and their imaginary parts separately. Example: Add or subtract. Write your answer in standard form.

  7. To multiply complex numbers, use the distributive property or FOIL. Remember: Example: Multiply. Write your answer in standard form.

  8. Since it cannot appear in the denominator of a fraction. To remove it, multiply both the numerator and denominator by the complex conjugate of the denominator. The complex conjugate of a + bi is a – bi. Write each expression in standard form:

  9. Assignment Pages 264-266 15-57 multiples of 3 87-97 odd

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