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Solving Radical Equations

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Applications of Radical Equations

In this lesson, we are going to learn to solve radical equations.

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Lesson Goals

  • Define extraneous roots.
  • Solve radical equations algebraically and graphically, identifying restrictions on the domain and any extraneous roots.
  • Solve real-world application problems involving radical equations.

Try This

The three pieces making up a bracket have lengths \(x+1\), \(x+2\), and \(\sqrt{2x+1}\).

The sum of the lengths is \(8\).

Find the length of each of the three pieces.