4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the...
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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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4.2Quadratic Functions
Objective:Solve quadratic equations.Use the discriminant to describe the roots of a
quadratic equation.
![Page 2: 4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.](https://reader036.fdocuments.us/reader036/viewer/2022082713/5697c0141a28abf838ccd3a0/html5/thumbnails/2.jpg)
Solve x2 – 12x + 7 = 0 by completing the square.
x2 – 12x = -7
x2 – 12x + 36 = -7 + 36
(x – 6)2 = 29
x – 6 = ± 29
x = 6 ± 29
![Page 3: 4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.](https://reader036.fdocuments.us/reader036/viewer/2022082713/5697c0141a28abf838ccd3a0/html5/thumbnails/3.jpg)
Quadratic Formula
a
acbbx
2
42
Discriminant
acb 42
![Page 4: 4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.](https://reader036.fdocuments.us/reader036/viewer/2022082713/5697c0141a28abf838ccd3a0/html5/thumbnails/4.jpg)
• 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
![Page 5: 4.2 Quadratic Functions Objective: Solve quadratic equations. Use the discriminant to describe the roots of a quadratic equation.](https://reader036.fdocuments.us/reader036/viewer/2022082713/5697c0141a28abf838ccd3a0/html5/thumbnails/5.jpg)
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Assignment
4.2 Practice Worksheet #1-84.2 pg 219: #12, 14, 20, 22, 24, 26, 34ab, and 36ac