1. Solving Quadratic Equations
CC6
Solving Quadratic Equations

2. 3 ways to solve a quadratic equation
Factoring/Magic X
Quadratic Formula
Completing the square

3. ALWAYS FIND THE GCF FIRST
THEN …
DETERMINE A, B, C using

4. Multiplying Binomials
Remember the distribution pattern

5. Using MAGIC X We do Magic X to split up the “B” term
Then find the GCF of the 4 terms!
Factor by “Grouping”

6. Solve by factoring

7. Factoring by guessing and checking
( __ __ ) ( __ __ )
You MUST multiply and add to get the middle term!!!

9. Solve by using the quadratic formula
= 0

10. ALWAYS FIND THE GCF FIRST
THEN …DETERMINE A, B, C using SUBSTITUTE into formula

11. Completing the square
A needs to be one. The middle term should be an even.
Use

12. Solve by completing the square or QF
= 0

13. Word Problems Given Area as a trinomial
Find the binomials by factoring
Substitute the x value given to find the exact area

14. The area of the carpet is represented by
Find the length and width of the carpet as binomials
If the value of x is 5. What is the total area of the carpet?