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Algebra 2 300 Solve Radical Equations pp.385-390 Name: ______________________________________________ A radical equation includes a radical with a variable in the radicand. Example #1: √ Example #2: 4 7 √4 7 Are they both radical equations? Be careful! Please note the common mistakes students make when solving radical equations. Square sides note terms. 3 4 7 Check all solutions for an extraneous solution. √ 3 Examples: Example #1: 3+ x = 4 Steps to follow: 1. Isolate the radical 2. Make sure it’s positive! 3. Raise each side of the equation to a power to get rid of the radical. 4. Solve 5. Check Algebra 2 300 Solve Radical Equations pp.385-390 Example #2: − 3x − 2 = 5 Example #3: x+ 6− x = 4 Example #4: x− 6− x = 4 Example #5: 7 − 4− x = 3+ x Example #6: 2 x 2 − 9 x + 1 = −3