1. 5.5
Completing the Square

2. Using the Square Root Property
Factor the left side of the equation as perfect squares
Take the square root of each side
Set one factor equal to the positive square root and the other factor equal to the negative square root
Solve for the variable

3. Examples- Solve using the square root property
x2 + 20x = 64
36x2 – 48x + 16 = 12

4. Steps to complete square:
ax2 + bx + c = 0
Rewrite the equation so it is: ax2 + bx = c
𝑏 2 = ____2 = #
Rewrite in the following set-up
ax2 + bx + # = c + #
Fill in boxes from second step with #
Factor left side of equation as perfect square and simplify right side
Solve for the variable

5. Examples
Find the value of c that makes each trinomial a perfect square
x2 – 10x + c
x2 - 3x + c

6. Examples Solve by completing y2 – 4y – 5 = 0 the square
2x2 – 13x – 7 = 0