1. Complete the Square

2. Key Terms
The process of adding a term to an expression 𝒙 𝟐 +𝒃𝒙 is called ___________________. Ex. 𝒂 𝒙 𝟐 +𝒃𝒙+ ?=𝒄

3. Example One Solve by finding the Square Root
STEPS
Write original equation.
Write left side as a binomial squared.
Take square roots of each side.
Solve for x.

4. Example Two Solve by finding the Square Root
Solve x2 – 10x + 25 = 1.
STEPS
Write original equation.
Write left side as a binomial squared.
Take square roots of each side.
Solve for x.

5. You Try it!! Solve the equation by finding square roots.
Solve x2 + 6x + 9 = 36.

6. Key Concept:
Completing the Square To complete the square for expression 𝒙 𝟐 +𝒃𝒙 𝒂𝒅𝒅 𝒃 𝟐 𝟐

7. Example Three Making Perfect Square Trinomial
Find the value of c then write as (ax + c)2
x2 + 14x + c
STEPS
STEP 1
Find half the coefficient of x.
STEP 2
Square the result of Step 1.
STEP 3
Replace c with the result of Step 2.

8. Example Four Find the value of c then write as (ax + c)2
x2 + 22x + c

9. You Try it!! Find the value of c, then write as a square binomial.
x2 – 9x + c

10. Homework
Textbook – Pg ,5,6, 13, 17,21
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