6.6 – Complex Numbers Complex Number System: This system of numbers consists of the set of real numbers and the set of imaginary numbers. Imaginary Unit:

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Presentation transcript:

6.6 – Complex Numbers Complex Number System: This system of numbers consists of the set of real numbers and the set of imaginary numbers. Imaginary Unit: The imaginary unit is called i, where and Square roots of a negative number can be written in terms of i.        

The imaginary unit is called i, where and Operations with Imaginary Numbers       6.6 – Complex Numbers

The imaginary unit is called i, where and Complex Numbers:   Numbers that can written in the form a + bi, where a and b are real numbers i8 – 9i–13 + i The Sum or Difference of Complex Numbers   6.6 – Complex Numbers

   

     Multiplying Complex Numbers   6.6 – Complex Numbers  

  Multiplying Complex Numbers      6.6 – Complex Numbers  

  Dividing Complex Numbers Rationalizing the Denominator: 6.6 – Complex Numbers       

  Dividing Complex Numbers Complex Conjugates: The complex numbers (a + bi) and (a – bi) are complex conjugates of each other and, (a + bi)(a – bi) = a 2 + b – Complex Numbers

  Dividing Complex Numbers Complex Conjugates: The complex numbers (a + bi) and (a – bi) are complex conjugates of each other and, (a + bi)(a – bi) = a 2 + b – Complex Numbers

 Dividing Complex Numbers Complex Conjugates: The complex numbers (a + bi) and (a – bi) are complex conjugates of each other and, (a + bi)(a – bi) = a 2 + b – Complex Numbers