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4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.

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Presentation on theme: "4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation."— Presentation transcript:

1 4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.

2 Solve x 2 – 12x + 7 = 0 by completing the square. x 2 – 12x = -7 x 2 – 12x + 36 = -7 + 36 (x – 6) 2 = 29 x – 6 = ± x = 6 ±

3 Quadratic Formula Discriminant

4 If “D” is positive perfect square 2, real, rational solutions If “D” is positive non-perfect square 2, real, irrational solutions If “D” is zero 1, real, rational double root If “D” is negative Imaginary conjugates

5

6 Assignment 4.2 Practice Worksheet #1-8 4.2 pg 219: #12, 14, 20, 22, 24, 26, 34ab, and 36ac


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