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Completing the Square Method: Solve Quadratic Equations with Confidence

Learn how to use the completing the square method to solve quadratic equations step-by-step. Understand when this method is useful and why. Practice multiple examples for mastery.

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Completing the Square Method: Solve Quadratic Equations with Confidence

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Presentation Transcript

  1. Warm up Solve by taking roots.

  2. Homework Review

  3. Skills Check

  4. CCGPS Geometry UNIT QUESTION: How are real life scenarios represented by quadratic functions? Today’s Question: When is it useful to solve quadratics by completing the square? Standard: MCC9-12..A.REI.4b

  5. Completing the Square • Completing the square is used for all those problems that don’t factor!! • It is used to solve these equations for the variable. • It gets a little messy when a is not 1.

  6. Completing the Square Is another way to solve a quadratic equation. ax2 + bx + c = 0 a needs to be 1. c needs to be moved to the other side of the = sign

  7. Steps to Completing the Square 1. Move the constant to the other side. 2. Add to BOTH sides of the eqn. 3. Factor! 4. Take the square root of both sides. 5. Solve for x.

  8. Example 1:

  9. Example 2:

  10. Example 3:

  11. Example 4:

  12. Example 5:

  13. Example 6:

  14. Worksheet 10 problems

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