How to solve quadratic equations with complex solutions and perform operations with complex numbers. Chapter 5.4Algebra IIStandard/Goal: 1.3.

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Presentation transcript:

How to solve quadratic equations with complex solutions and perform operations with complex numbers. Chapter 5.4Algebra IIStandard/Goal: 1.3

1. Check on assignment from yesterday. 2. Read, write, and discuss how to solve quadratic equations with complex solutions and perform operations with complex numbers. 3. Work on given assignment.

imaginary unit imaginary unit i can be used to write the square root of any negative number.

Complex number written in standard form A complex number written in standard form is a number a + bi where a and b are real numbers. The number a is the real part of the complex number, and the number bi is the imaginary part. If b ≠ 0 then a + bi is an imaginary number. If a = 0 and b ≠ 0 then a + bi is a pure imaginary number.

Complex Conjugates a + bi and a – bi are called complex conjugates Example 6 - 3i The conjugate is 6 + 3i Note: The product of complex conjugates is always a real number.

Larson, R., Boswell, L., Kanold, T., Stiff, L., (2001) Algebra 2 McDougal Littell. Power Point made by: Robert Orloski Jerome High School.