1. Warm up
Solve by taking roots.

2. Homework Review

3. Skills Check

4. When is it useful to solve quadratics by completing the square?
GSE Algebra I Support
UNIT QUESTION: How are real life scenarios represented by quadratic functions?
Today’s Question:
When is it useful to solve quadratics by completing the square?
Standard: MCC9-12..A.REI.4b

5. Completing the Square
Completing the square is used for all those problems that don’t factor!!
It is used to solve these equations for the variable.
It gets a little messy when a is not 1.

6. Completing the Square ax2 + bx + c = 0
Is another way to solve a quadratic equation.
ax2 + bx + c = 0
a needs to be 1.
c needs to be moved to the other side of the = sign

7. Steps to Completing the Square
1. Move the constant to the other side.
2. Add to BOTH sides of the eqn.
3. Factor the left! Inside the parenthesis will have the SIGN of b.
4. Take the square root of both sides.
5. Solve for x.

8. Example 1:

9. Example 2:

10. Example 3:

11. Example 4:

12. Example 5:

13. Example 6:

14. Homework
Worksheet