Copyright © 2011 Pearson, Inc. 2.7 Solving Equations in One Variable.

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Presentation transcript:

Copyright © 2011 Pearson, Inc. 2.7 Solving Equations in One Variable

Copyright © 2011 Pearson, Inc. Slide What you’ll learn about Solving Rational Equations Extraneous Solutions Applications … and why Applications involving rational functions as models often require that an equation involving fractions be solved.

Copyright © 2011 Pearson, Inc. Slide Extraneous Solutions When we multiply or divide an equation by an expression containing variables, the resulting equation may have solutions that are not solutions of the original equation. These are extraneous solutions. For this reason we must check each solution of the resulting equation in the original equation.

Copyright © 2011 Pearson, Inc. Slide Example Solving by Clearing Fractions

Copyright © 2011 Pearson, Inc. Slide Example Solving by Clearing Fractions

Copyright © 2011 Pearson, Inc. Slide Example Solving by Clearing Fractions

Copyright © 2011 Pearson, Inc. Slide Example Solving by Clearing Fractions

Copyright © 2011 Pearson, Inc. Slide Example Eliminating Extraneous Solutions

Copyright © 2011 Pearson, Inc. Slide Example Eliminating Extraneous Solutions

Copyright © 2011 Pearson, Inc. Slide Example Finding a Minimum Perimeter

Copyright © 2011 Pearson, Inc. Slide Example Finding a Minimum Perimeter

Copyright © 2011 Pearson, Inc. Slide Quick Review

Copyright © 2011 Pearson, Inc. Slide Quick Review Solutions

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