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7.5 Solving Radical Equations. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable with.

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Presentation on theme: "7.5 Solving Radical Equations. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable with."— Presentation transcript:

1 7.5 Solving Radical Equations

2 What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable with a rational exponent. yes no

3 EXAMPLE – Solving a Radical Equation 2 () 2 Square both sides to get rid of the square root

4 Let’s Try Some

5 RADICAL EQUATIONS ISOLATE RADICAL / RATIONAL RAISE BOTH SIDES TO RECIPROCAL POWER SOLVE FOR THE VARIABLE

6 ISOLATE RADICAL / RATIONAL RAISE BOTH SIDES TO RECIPROCAL POWER Use absolute value when taking an even number root.

7 Checking for extraneous solutions So check answers with

8 SOLVING MORE COMPLEX EQUATIONS Raise each side to the 4 th power. This will get you integer powers – much easier to work with! Factor

9 check for extraneous solutions


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