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Using the Quadratic Formula to Solve Quadratic Equations Section 7.5.

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Presentation on theme: "Using the Quadratic Formula to Solve Quadratic Equations Section 7.5."— Presentation transcript:

1 Using the Quadratic Formula to Solve Quadratic Equations Section 7.5

2 Lehmann, Intermediate Algebra, 4ed Section 7.5Slide 2 The Quadratic Formula Proof of the Quadratic Formula The solutions of the quadratic equation are given by the quadratic formula: Formula

3 Lehmann, Intermediate Algebra, 4ed Solve Section 7.5Slide 3 The Quadratic Formula Quadratic Formula Common Error Warning Example

4 Lehmann, Intermediate Algebra, 4ed Section 7.5Slide 4 The Quadratic Formula Solving by Using the Quadratic Formula Solution

5 Lehmann, Intermediate Algebra, 4ed Solve Write in the form Section 7.5Slide 5 The Quadratic Formula Solving by Using the Quadratic Formula Example Solution

6 Lehmann, Intermediate Algebra, 4ed Write in the form Solution: Section 7.5Slide 6 The Quadratic Formula Solving by Using the Quadratic Formula Solution Continued

7 Lehmann, Intermediate Algebra, 4ed Solve Section 7.5Slide 7 The Quadratic Formula Solving by Using the Quadratic Formula Example Solution

8 Lehmann, Intermediate Algebra, 4ed Section 7.5Slide 8 The Quadratic Formula Solving by Using the Quadratic Formula ExampleSolution Continued

9 Lehmann, Intermediate Algebra, 4ed Solve Section 7.5Slide 9 Solving a Quadratic Equation That Has Imaginary-Number Solutions Solving by Using the Quadratic Formula Example Solution

10 Lehmann, Intermediate Algebra, 4ed Section 7.5Slide 10 The Quadratic Formula Solving by Using the Quadratic Formula ExampleSolution Continued


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