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Solving Quadratic Equations Completing the Square. Goal: I can complete the square in a quadratic expression. (A-SSE.3b). Recall : Square Root Property. Solve the equation using the square root property. Recall : Square Root Property. Solve the equation using the square root property.

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Solving quadratic equations completing the square

Solving Quadratic EquationsCompleting the Square

Goal: I can complete the square in a quadratic expression. (A-SSE.3b)


Recall square root property
Recall: Square Root Property

  • Solve the equation using the square root property.


Recall square root property1
Recall: Square Root Property

  • Solve the equation using the square root property.


To solve by completing the square
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.


Example 1
Example 1:

  • Step 1: Move the constant.

  • What would you do to each side to move the constant?


Example 11
Example 1:

  • Step 2: Add to each side.


Example 12
Example 1:

  • Step 3: Factor the perfect square trinomial.


Example 13
Example 1:

  • Step 4: Solve for x, using

    the Square Root Property.


Example 2
Example 2:

  • Solve by completing the square.


Example 3
Example 3:

  • Solve by completing the square.


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