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Solving Radical Equations

Solving Radical Equations. Lesson 13.4. Squaring Both Sides of an Equation. If a = b, then a 2 = b 2

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Solving Radical Equations

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  1. Solving Radical Equations Lesson 13.4

  2. Squaring Both Sides of an Equation • If a = b, then a2 = b2 • Squaring both sides of an equation often introduces extraneous solutions of a2 = b2 that are NOT solutions. So when you use this procedure, it is critical that you check each solution in the original equation. • Before squaring both sides of an equation, you should isolate the radical expression on one sideof the equation.

  3. Solving a Radical Equation Goal is to isolate the radical expression. 1. Add 8 to both sides. 2. Square both sides. Simplify Check your solution • Solve

  4. Solve a Radical Equation Goal is to isolate the radical expression. 1. Subtract 1 from both sides. 2. Square both sides. Simplify Solve for x Check your answer • Solve

  5. Solve a Radical Equation Goal is to isolate the radical expression. Square both sides. Simplify Write in standard form. Factor and solve. Check your answer • Solve -1 does not check. So 2 is the only solution.

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