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SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)

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Presentation on theme: "SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)"— Presentation transcript:

1 SOLVING QUADRATIC EQUATIONS COMPLETING THE SQUARE Goal: I can complete the square in a quadratic expression. (A-SSE.3b)

2 RECALL: SQUARE ROOT PROPERTY  Solve the equation using the square root property.

3 RECALL: SQUARE ROOT PROPERTY  Solve the equation using the square root property.

4 TO SOLVE BY COMPLETING THE SQUARE  Step 1: Move the constant  Step 2: Add to each side.  Step 3: Factor the perfect square trinomial.  Step 4: Solve for x, using the Square Root Property.

5 EXAMPLE 1:  Step 1: Move the constant.  What would you do to each side to move the constant?

6 EXAMPLE 1:  Step 2: Add to each side.

7 EXAMPLE 1:  Step 3: Factor the perfect square trinomial.

8 EXAMPLE 1:  Step 4: Solve for x, using the Square Root Property.

9 EXAMPLE 2:  Solve by completing the square.

10 EXAMPLE 3:  Solve by completing the square.


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