Precalc0011to0016-page9 - (Section 0.11: Solving Equations)...

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(Section 0.11: Solving Equations) 0.11.9 PART E: SOLVING RADICAL EQUATIONS We often solve a radical equation by isolating radicals on one or both sides of the equation and then raising both sides to the appropriate positive integer power . WARNING 12 : If we raise both sides of an equation to an even power at any step, we must check our tentative solutions at the end and reject extraneous solutions that do not check out. (Raising to an odd power does not require such a check.) For example, if we square both sides of x = 2 , we obtain x 2 = 4 , which has 2 and ± 2 as solutions. However, ± 2 is an extraneous solution that must be
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This document was uploaded on 12/29/2011.

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