Using the Quadratic Formula to Solve Quadratic Equations Section 7.5.

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Presentation transcript:

Using the Quadratic Formula to Solve Quadratic Equations Section 7.5

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

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

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

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

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

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

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

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

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