1. Completing the Square

2. Warm-Up x2 + 20x + ___ x2 - 4x + ___ x2 + 10x + ___ x2 + 22x + ___
Create Perfect Square Trinomials. Write the SQUARES of BINOMIALS
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x2 + 20x + ___
x2 - 4x + ___
x2 + 10x + ___
x2 + 22x + ___
x2 - 8x + ___
x2 + 12x + ___ 2

3. Solving Quadratic Equations by Completing the Square
Solve the following equation by completing the square:
Step 1: Move quadratic term, and linear term to left side of the equation
+20
+20

4. Solving Quadratic Equations by Completing the Square
Step 2: Find the term that completes the square on the left side of the equation. Add that term to both sides.

5. Solving Quadratic Equations by Completing the Square
Step 3: Factor the perfect square trinomial on the left side of the equation. Simplify the right side of the equation.

6. Solving Quadratic Equations by Completing the Square
Step 4: Take the square root of each side

7. Solving Quadratic Equations by Completing the Square
Step 5: Set up the two possibilities and solve

8. Examples:
2. x2 +2x-8=0
3. x2 +6x-5=0
4. x2 -12x+4=0

9. Solving Quadratic Equations by Completing the Square
Try the following examples. Do your work on your paper and then check your answers.
1. x2 +2x-63=0
2. x2 +8x-84=0
3. x2 -6x-4=0
4. x2 -10x+2=0

10. PRACTICE A. x2 -12x+____, (____)2 B. x2 +7x +____, (____)2
1.Complete the PST and write the squares of binomial:
A. x2 -12x+____, (____)2
B. x2 +7x +____, (____)2
A. x2 -8x+12=0, x=___ x=___
B. x2 +10x-2=0, x=___ x=___ 36
x - 6
49/4
X+7/2
II. Solve for X by COMPLETING THE SQUARE: 6 2
-5+√27
-5-√27