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6.9 Continued

Learn how to solve quadratic equations by factoring and by using the quadratic formula. Explore the standard form of a quadratic equation and the zero-factor property. Practice solving equations using both methods.

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6.9 Continued

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Presentation Transcript

  1. 6.9 Continued Solving Quadratic Equations by Using Factoring and by Using the Quadratic Formula

  2. Solving Quadratic Equations by Factoring • Standard Form of a Quadratic Equation ax2 + bx + c = 0, a 0 • Zero-Factor Property If a• b = 0, then a = 0 or b = 0.

  3. To Solve a Quadratic Equation by Factoring • Use the addition or subtraction property to make one side of the equation equal to 0. • Factor the side of the equation not equal to 0. • Use the zero-factor property to solve the equation.

  4. Example: Solve by Factoring Solve 4x2 + 17x 15 = 0. The solutions are 5 and ¾. or

  5. Solve by factoring

  6. Practice Problem: Solve by factoring

  7. Quadratic Formula • For a quadratic equation in standard form, ax2 + bx + c = 0, a 0, the quadratic formula is

  8. Solve the equation 3x2 + 2x 7 = 0. a = 3, b = 2 and c = 7 Example: Using the Quadratic Formula

  9. Practice Problem: solve using the quadratic equation

  10. Homework: P 360 # 35 – 77 eoo

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