Lesson 13.4 Solving Radical Equations. Squaring Both Sides of an Equation If a = b, then a 2 = b 2 Squaring both sides of an equation often introduces.

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Presentation transcript:

Lesson 13.4 Solving Radical Equations

Squaring Both Sides of an Equation If a = b, then a 2 = b 2 Squaring both sides of an equation often introduces extraneous solutions of a 2 = b 2 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 side of the equation.

Solving a Radical Equation Solve Goal is to isolate the radical expression. 1. Add 8 to both sides. 2. Square both sides. 3.Simplify 4.Check your solution

Solve a Radical Equation Solve Goal is to isolate the radical expression. 1. Subtract 1 from both sides. 2. Square both sides. 3.Simplify 4.Solve for x 5.Check your answer

Solve Solve a Radical Equation Goal is to isolate the radical expression. 1.Square both sides. 2.Simplify 3.Write in standard form. 4.Factor and solve. 5.Check your answer -1 does not check. So 2 is the only solution.