Copyright © 2011 Pearson, Inc. P.5 Solving Equations Graphically, Numerically and Algebraically.

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Copyright © 2011 Pearson, Inc. P.5 Solving Equations Graphically, Numerically and Algebraically

Copyright © 2011 Pearson, Inc. Slide P What you’ll learn about Solving Equations Graphically Solving Quadratic Equations Approximating Solutions of Equations Graphically Approximating Solutions of Equations Numerically with Tables Solving Equations by Finding Intersections … and why These basic techniques are involved in using a graphing utility to solve equations in this textbook.

Copyright © 2011 Pearson, Inc. Slide P Example Solving by Finding x- Intercepts

Copyright © 2011 Pearson, Inc. Slide P Solution

Copyright © 2011 Pearson, Inc. Slide P Zero Factor Property Let a and b be real numbers. If ab = 0, then a = 0 or b = 0.

Copyright © 2011 Pearson, Inc. Slide P Quadratic Equation in x A quadratic equation in x is one that can be written in the form ax 2 + bx + c = 0, where a, b, and c are real numbers with a ≠ 0.

Copyright © 2011 Pearson, Inc. Slide P Completing the Square

Copyright © 2011 Pearson, Inc. Slide P Quadratic Formula

Copyright © 2011 Pearson, Inc. Slide P Example Solving Using the Quadratic Formula

Copyright © 2011 Pearson, Inc. Slide P Solution

Copyright © 2011 Pearson, Inc. Slide P Solving Quadratic Equations Algebraically These are four basic ways to solve quadratic equations algebraically. 1. Factoring 2. Extracting Square Roots 3. Completing the Square 4. Using the Quadratic Formula

Copyright © 2011 Pearson, Inc. Slide P Agreement about Approximate Solutions For applications, round to a value that is reasonable for the context of the problem. For all others round to two decimal places unless directed otherwise.

Copyright © 2011 Pearson, Inc. Slide P Example Solving by Finding Intersections

Copyright © 2011 Pearson, Inc. Slide P Solution

Copyright © 2011 Pearson, Inc. Slide P Quick Review

Copyright © 2011 Pearson, Inc. Slide P Quick Review Solutions

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