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Completing the Square

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**Warm-Up x2 + 20x + ___ x2 - 4x + ___ x2 + 10x + ___ x2 + 22x + ___**

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

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**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

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**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.

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**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.

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**Solving Quadratic Equations by Completing the Square**

Step 4: Take the square root of each side

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**Solving Quadratic Equations by Completing the Square**

Step 5: Set up the two possibilities and solve

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

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**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

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**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

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