1. Solving Quadratics By Completing the Square Part 2
Must be a
perfect
Square

2. Solve by completing the square
Move constant to other side.
Add a blank to both sides
Divide “b” by 2
4. Square that answer.
Add it to both sides
Factor 1st side
Square root both sides
Solve for x
Solve by completing the square 2. -8 -8

3. Factor this Perfect square trinomial
Short cut!
Factor this Perfect square trinomial
Bring down sign
Square root
What is the
of x2
Square root
What is the
of 9

4. Solve by completing the square
Move constant to other side.
Add a blank to both sides
Divide “b” by 2
Square that answer.
Add it to both sides
Factor 1st side
Square root both sides
Solve for x
Solve by completing the square 3.
+84
+84

5. Factor this Perfect square trinomial
Short cut!
Factor this Perfect square trinomial
Bring down sign
Square root
What is the
of x2
Square root
What is the
of 9

6. Solve by completing the square
Move constant to other side.
Add a blank to both sides
Divide “b” by 2
Square that answer.
Add it to both sides
Factor 1st side
Square root both sides
Solve for x
Solve by completing the square 4.
+15
+15

7. Factor this Perfect square trinomial
Short cut!
Factor this Perfect square trinomial
Bring down sign
Square root
What is the
of x2
Square root
What is the
of 9

8. Steps to solve Quadratics by completing the square:
Move the constant to side by itself.
Make the side (w/variables) a perfect square by adding a certain number to both sides.
To calculate this number
Divide “b” (middle term) by 2
Then square that answer
Take the square root of both sides of eq
Then solve for x

9. In a perfect square, there is a relationship between the coefficient of the middle term and the constant term.