# LESSON 8-8 PROBLEM SOLVING SOLVING RADICAL EQUATIONS AND INEQUALITIES

Example 5c Solve the equation. We think you have liked this presentation. Isolate what is being raised to a power. Auth with social network: An even root can not be less than 0.

Subtract x from both sides and subtract 2 from both sides. Check Substitute for x in the original equation. Example 1a Solve the equation. What is a Radical Expression? Registration Forgot your password? Solving Equations Containing To solve an equation with a radical expression, you need to isolate the variable on one side of the equation.

Method 2 Square both sides. Share buttons are a little bit lower.

Check Substitute 1 for x in the equation. Both answers are extraneous. Method 1 Multiply both sides by 4.

Raise each side ledson the same power to eliminate the root. Example 3c Continued Solve the equation. What is the height of the triangle? Example 5b Solve the equation. Multiply both sides by 4.

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Add to both sides. Example 4a Continued Solve the equation. Example 5c Solve the equation. Isolate the radical on one side. Add 2 to both sides.

## Extraneous solutions of radical equations

For a square root, the index of the radical is 2. A triangle has an area of 48 square feet, its base is 6 feet and its height is feet. The only restriction on to.

Example 3c Solve the equation. We think you have liked this presentation.

Feedback Privacy Policy Feedback. Example 2b Solve the equation. You can do this by using one or more inverse kesson. Add 1 to both sides. There is no solution.

## Solving Radical Equations and Inequalities

Example 5a Solve the equation. Solve Radical Equations Starter: The only solution is 3. What is the length of the rectangle? Lesaon Substitute 5 for x in the equation.