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Solving Quadratic Equations Completing the Square

Learn how to complete the square in quadratic equations using the square root property. Follow the steps to solve and master this technique. Examples provided for better understanding.

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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.

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