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Quadratic Equations: Solve by Completing the Square

Learn how to solve quadratic equations by completing the square method. Practice rewriting and solving equations in factor form.

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Quadratic Equations: Solve by Completing the Square

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  1. Warm up 9/08 1. Factor 2. Solve by Factor

  2. Be seated before the bell rings Agenda: Warmup Go over hw/Quiz Notes 5.4 & 5.5 DESK Warm-up (in your notes) homework • Ch 5 test tues 9/15

  3. Notebook 1 Table of content 5.4 Solve Quadratics by Completing the Square Page 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 1 7) 2.3 & 2.4 10) /5.3 Solve quadratics by factoring 11) 5.4 Solve Quadratics by Completing the Square

  4. 5.4: I can solve a quadratic equation by using square roots • 5.4: I can solve a quadratic equation by using the complete the square method. • 5.4: I can re-write a quadratic function in vertex form by completing the square. • 5.6: I can find the zeros/solutions of a quadratic equation using the quadratic formula Learning Targets

  5. 5.4 Solve Quadratics by completing the square

  6. 5.4 Solve Quadratics by completing the square

  7. Now try working backwards. Rewrite the following standard form quadratic expressions as perfect squares

  8. 5.4 : Solve Quadratics by completing the square Rewrite from standard form to Factor form. Solve: Example:

  9. Complete the square: http://www.glencoe.com/sites/common_assets/mathematics/ebook_assets/vmf/VMF-Interface.html Draw a sketch Rewrite Factor form and solve 13 13 We would need to add in 13 ones to make it a square!

  10. Variable terms on right side, constant on left 36 36 If needed To both sides To square factor form By taking the square root.

  11. 16 16

  12. 9 9

  13. 25/4 25/4 Simplify or or

  14. 36 36

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