9.6

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9.6 Solving Radical Equations

• Radical Equation
• Extraneous Solution

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Let us explore...
Notice that x² is a perfect square
Work Smart, Not Hard!!!
Conclusion Squaring and the square root undo
each other
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Definition Radical Equation Equations that have
the variable under a radical. Ex.
Definition Extraneous Solution Extra solutions
introduced when squaring both sides of an
equation. We must check out answers!!!
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• Steps to Solve Radical Equations
• Isolate the radical (get it by itself)
• Square each side of the equation
• Solve for the variable.
• 4) Check for extraneous solutions.

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Your Turn!!
Evaluate
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• Radical equations are equations that have the
  variable under the ________________.
• Extraneous solutions are ______________
  introduced by ____________________________________
  __