1. 3.6 Solve Radical Equations
p.204
How do you solve a radical equation?
What must you do when you solve an equation with two radicals?
What is an extraneous solution?

2. Ex: Solve for x. Don’t forget to check your solutions!! **
** Use this idea to solve the radical equations.

3. Write original equation.
Write original equation.
Cube each side to eliminate the radical.
2x+7
= 27
Simplify. 2x
= 20
Subtract 7 from each side.
Divide each side by 2. x
= 10
Check x = 10 in the original equation.
Substitute 10 for x.
Simplify.
Solution checks.

4. Ex: Solve for y.
Don’t forget to check your solutions!!

5. Ex: Solve.
Don’t forget to check your solutions!!

6. Ex: Solve.
Don’t forget to check your solutions!!

7. Only use the positive answers when checking solutions.
Ex: Solve.
Only use the positive answers when checking solutions.
Factor this to solve!
Don’t forget to check your solutions!!
Solution

8. So, why didn’t one of the solutions work?
The solution that did not work is called an extraneous solution.
An extraneous solution is a false solution.
This is the reason why you MUST check all solutions!!

9. How do you solve a radical equation?
Isolate the radical on one side of the equation and raise the equation to the power in the problem to eliminate the radical.
What must you do when you solve an equation with two radicals?
Put a radical on each side of the equal sign before raising to the power of the radical.
What is an extraneous solution?
A answer that is not a valid solution of the original problem.

10. 3.6 Assignment
Page 208, 5-12, 14-20, 56