7.7 Solving Radical Equations and Inequalities. Vocabulary Radical equations/inequalities: equations/inequalities that have variables in the radicands.

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Presentation transcript:

7.7 Solving Radical Equations and Inequalities

Vocabulary Radical equations/inequalities: equations/inequalities that have variables in the radicands Extraneous Solution: when you get a solution that does not satisfy the original equation. pg 13

Steps to solve radical equations/inequalities 1. Isolate the radical. ▫If there is more than one, isolate the radical that has the most stuff in it first! 2. Raise both sides to the power that will eliminate the radical. ▫If there is more than one radical you will have to repeat this step until there are no more radicals in the problem 3. Solve for the variable. 4. Test solutions to check for extraneous roots. pg 13

Solve Radical Equations pg 13

pg 14

Day #2 Now let’s look at inequalities Steps to Solve a radical inequality 1. Identify the values of x for which the root is defined. 2. Solve given inequality by isolating and then eliminating the radical 3.Test values to confirm your solution (use a table to do this) 4. Graph solution on a number line. (Remember open and closed dots) pg 14