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Solving Quadratic Equations Completing the Square

Solving Quadratic Equations Completing the Square

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Solving Quadratic Equations Completing the Square

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  1. Solving Quadratic EquationsCompleting 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.