2 ­ Solving Radicals marked Sp17.notebook
Solving Radical Equations and Inequalities A.REI.2 Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Solving Radical equations:
1. Determine any restrictions that would cause extraneous solutions.
**Even indices can't have NEGATIVE radicands**
2. Isolate the radical grouping.
April 17, 2017
What am I learning today?
How to solve radical equations and inequalities
How will I show that I learned it?
Solve a radical equation or inequality and check for extraneous solutions
Reminder: Determine what x ≠ #. That # or range of numbers are where your extraneous solutions fall. Radicals: If you have an even root, must be ≥ 0!
3. Use the inverse function to solve (exponent = index).
4. Check your answer!
Solve. Check for extraneous solutions.
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Solving Radical Inequalities
The endpoints of your solution set interval(s) are the SOLUTIONS.
**For an EVEN INDEX, there will also be an endpoint at the x­value that will make your radical = 0.** If part of the solution set, the endpoint that makes the radical = 0 will always use a solid dot; for the other endpoint, look at the sign of the inequality.
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April 17, 2017
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