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CHAPTER_ppt_10_6 - 10.6 Radical Equations and Problem...

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§ 10.6 Radical Equations and Problem Solving
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Martin-Gay, Beginning and Intermediate Algebra, 4ed 2 The Power Rule Power Rule If both sides of an equation are raised to the same power, solutions of the new equation contain all the solutions of the original equation, but might also contain additional solutions. A proposed solution of the new equation that is NOT a solution of the original equation is an extraneous solution .
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Martin-Gay, Beginning and Intermediate Algebra, 4ed 3 Solving a Radical Equation 1) Isolate one radical on one side of the equation. 2) Raise each side of the equation to a power equal to the index of the radical and simplify. 3) If the equation still contains a radical term, repeat Steps 1 and 2. If not, solve the equation. 4) Check all proposed solutions in the original equation. Solving Radical Equations
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Martin-Gay, Beginning and Intermediate Algebra, 4ed 4 Solve the following radical equation.
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