1. A.6 Complex Numbers & Solving Equations It is our choices…who show who we really are, far more than our abilities. -Albus Dumbledore

2. Imaginary Numbers

3. Complex numbers are numbers of the form where a is called the real part and b is the imaginary part Complex Numbers

4. To add complex numbers, add the real parts and add the imaginary parts together (same for subtraction). To multiply complex numbers, follow the usual rules for multiplying two binomials. DOUBLE DISTRIBUTION!!!

5. Given the following complex numbers, perform the indicated operations. Complex Numbers 1) 2) 3)

6. If is a complex number, then its conjugate, denoted by, is defined as Complex Numbers

7. Let’s find the conjugate of the following complex numbers and then multiply by the conjugate. Complex Numbers 1) 2) 3)

8. We can apply multiplying conjugates to quotients of complex numbers. Let’s write the following in standard form! Complex Numbers

9. Given the following complex numbers, perform the indicated operations. 1) 2) 3) 4)

10. A.6 Complex Numbers & Solving Equations It is our choices…that show who we really are, far more than our abilities. -Albus Dumbledore Homework#8: p.1008 #9 – 45 Odd