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7.6 Solving Radical Equations

In this guide, we explore the process of solving radical equations. Begin by isolating the radical and squaring both sides to eliminate the radical. It's crucial to check all potential solutions, as some may be extraneous, meaning they do not satisfy the original equation. The solution that does not work is termed an extraneous solution and emphasizes the importance of verification. We will cover examples of solving for variables like x and y, and stress checking only positive answers when applicable. Ensure accuracy in your solutions!

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7.6 Solving Radical Equations

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  1. 7.6 Solving Radical Equations p.437

  2. Ex: Solve for x. Don’t forget to check your solutions!! ** ** Use this idea to solve the radical equations.

  3. Ex: Solve for y. Don’t forget to check your solutions!!

  4. Ex: Solve. Don’t forget to check your solutions!!

  5. Ex: Solve. Don’t forget to check your solutions!!

  6. Ex: Solve. Only use the positive answers when checking solutions. Factor this to solve! Don’t forget to check your solutions!! Solution

  7. So, why didn’t one of the solutions work? • The solution that did not work is called an extraneous solution. • An extraneous solution is a false solution. • This is the reason why you MUST check all solutions!!

  8. Assignment

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