Download Solve Radical Equations

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