Solving Radical Equations Chapter 6-6 Dr. Guram Algebra II 3/23/16

Focus Questions How do we solve radical equations? How do we identify extraneous solutions?

Curriculum standards TN SPI 3103.3.13 (Associated Tennessee Learning Expectations) Solve contextual problems using … radical … equations… Sources: http://www.corestandards.org/Math/Content/HSA/CED/A/1/ Spring Board Algebra 2 Textbook

Academic language Radical equation: An equation with one or more radicals that have variables in their radicands. Extraneous solution: An apparent solution that must be rejected because it does not satisfy the original equation.

Solving Radical Equations

Radical Equation Example 1

Guided Practice Examples

Solve a Radical Equation Given a Function: Example 2

Example 2 Answer

Standardized Test Practice Example 3

Standardized Test Solution Example 3

Solve an Equation with a Rational Exponent Example 4

Solve an Equation with a Rational Exponent Example 4 Solution

Solve an Equation with an Extraneous Solution Example 5

Example 5 Solution

Example 5 Solution Check

Example 6 Solve an Equation with Two Radicals

Example 6 Method 1 of Solving An Equation with Two Radicals

Example 6 Method 1 Check of Solving An Equation with Two Radicals

Example 6 Method 2 of Solving An Equation with Two Radicals

Practice Problems

How do we solve radical equations? Review How do we solve radical equations? How do we identify extraneous solutions?

Review of terms Explain the mathematical term: Radical Equation. Explain Extraneous Solution.

Class and HW Problems 6.6 Worksheet