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Lesson 10.4: Solving Quadratic Equations Using the Quadratic Formula, pg. 546

Lesson 10.4: Solving Quadratic Equations Using the Quadratic Formula, pg. 546. Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant to determine the number and type of roots of a quadratic equation. Quadratic Formula.

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Lesson 10.4: Solving Quadratic Equations Using the Quadratic Formula, pg. 546

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  1. Lesson 10.4: Solving Quadratic Equations Using the Quadratic Formula, pg. 546 Goals: To solve quadratic equations by using the Quadratic Formula. To use the discriminant to determine the number and type of roots of a quadratic equation.

  2. Quadratic Formula • The solutions of a quadratic equation of the form ax² + bx + c = 0, where a ≠ 0, are given by the following formula. • To solve quadratic equations using the quadratic formula, the equation must be set equal to ZERO

  3. Example 1: Solve by using the quadratic formula. 1. x² - 2x – 35 = 0

  4. Round to the nearest tenth if necessary. 2. 15x² - 8x = 4

  5. 3. 2(12g² - g) = 15

  6. 4. 3x² + 5x +11

  7. Discriminant:To find the number and types of roots of a quadratic equation use b² - 4ac x = b² - 4ac > 0; 2 real roots positive b² - 4ac = 0; 1 real root b² - 4ac < 0; no real roots negative

  8. 1. 4x² - 2x + 14 = 0 2. x² + 24x = -144 Ex. 2: Describe the roots using the discriminant.

  9. 3. 3x² + 10x = 12 4. x² - 11x + 10 = 0

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