Please get out your 12 factoring problems and then pg. 270 from Wed/Thurs
Take 9x 2 -8x = 1 and find every important point.
Same with 8x 2 -6x + 1 = 0
Graph y = 0 on your calculator and check your intercepts.

5.6 Complex Numbers

i = -1 imaginary number is in form a + bi i 2 = -1 real imaginary

Simplifying square rootsjust like normal, but add an i.
36 v. -36

What do you need to do with complex numbers?
-absolute value
-inverses
-add them
-multiply them
-find solutions

3 - 4i
How far away is this point?

Absolute Value
| a + bi| = a 2 + b 2

Find the opposite
-2 + 3i additive inverse is.... 2 - 3i

Adding Complex Numbers
Can only add like terms.
(2 + 6i) + (3 - 10i)

Multiplying Complex Numbers:
(5i)(-3i) =
(5 + 2i)(4 - 3i) =

Compare 4x 2 - 100 = 0 v. 4x 2 + 100 = 0

Problems to do: pg. 278 #1-51 odd.
Chapter 5 Test Friday.
The next 10 weeks are the heart of the course.
Everything we do, you will see again next year.
The better you get it now, the easier AAT will be for you.