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SECTION 7-3: SOLVING RADICAL EQUATIONS Solve equations that contain radicals or rational exponents.

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Presentation on theme: "SECTION 7-3: SOLVING RADICAL EQUATIONS Solve equations that contain radicals or rational exponents."— Presentation transcript:

1 SECTION 7-3: SOLVING RADICAL EQUATIONS Solve equations that contain radicals or rational exponents

2 Solving Radical Equations  Isolate the radical on one side of the equation, if necessary.  Raise each side of the equation to the same power to eliminate the radical.  Solve the resulting equation using techniques that you learned in previous chapters.  Check your solutions.

3 Example 1: Solve a Radical Equation

4 Checkpoint:

5 Example 2: Solve a Radical Equaiton

6 Example 3: Solve an Equation with Two Radicals

7 Checkpoint:

8 Checkpoint: (continued)

9 Roots that do not make the original equation true. You must check each apparent solution in the original equation. Extraneous Roots

10 Example 4: Solve an Equation with an Extraneous Solution

11 Example 5: Solve an Equation with Rational Exponents

12 Checkpoint:

13 Checkpoint: Continued

14

15 Homework


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