1. Factor and Solve Quadratic Equations
Ms. Nong

2. What is in this unit? Graph the quadratic equations (QE)
Solve by taking SquareRoot & Squaring
Solve by using the Quadratic Formula
Solve by Completing the Square
Factor & Solve Trinomials (split the middle)
Factor & Solve DOTS: difference of two square
Factor GCF (greatest common factors)
Factor by Grouping

3. Remember: The inverse opeation (opposite) of SquareRoot is Squaring &
Square is taking SquareRoot
( ) 2 ( )2
√ √

4. To complete examples you see previously…
*Put ±
before 5
{-3, 7}

5. Inverse operation of Square
√SqRoot cancels out Square
Subtract 3 to both sides

6. First, isolate the squared factor: 5(x + 5)2 = 75 (x + 5)2 = 15
Ex: Solve by taking square roots 5(x + 5)2 – 75 = 0
First, isolate the squared factor:
5(x + 5)2 = 75
Isolate the ( x + 5)2
(x + 5)2 = 15
Now take the square root of both sides:
SqRoot both sides
Put ± on the right side
Subtract 5 to both sides

7. Assignment
Check answers with me