Homework WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.
-
Upload
martina-carroll -
Category
Documents
-
view
212 -
download
0
Transcript of Homework WB p.3-4 #36-54 (evens or odds). Chapter 1 Review.
Homework
WB p.3-4 #36-54 (evens or odds)
Chapter 1 Review
The Complex Numbers
Real numbers:
Imaginary numbers:
Pure imaginary numbers:
is the imaginary unit
Who remembers what equals? Think about this: What makes an imaginary number “imaginary”?
What about ? Let’s keep going! Notice a pattern?
All radical properties are the same in the imaginary world!
Radicals & Imaginary Numbers
Example #1:
Example #2:
Adding and Subtracting Complex Numbers
Example #1:
Example #2:
More conjugates!
How do we find the complex conjugate of the following?
Same rules as radicals- we never, ever, ever leave an imaginary numbers in the denominator! Multiply by the conjugate or !
Simplify the following:
Quadratic Functions
How many solutions do quadratics have (always!)?
How do we solve quadratics?
4 ways:
-Quadratic Formula
-Factoring
-Completing the Square
-Graphing (not often)
***GOLDEN RULE OF SOLVING QUADRATICS: There must be a 0 on one side of the equation!!
Who remembers the quadratic formula?!
Let’s solve this using the quadratic formula- just substitute your values for a, b, and c!
Another one- this one may be more “complex”
Factoring
This is the opposite of distributing.
***Make sure you first factor out the common factors!
Ex)
Another one- factor this!