U3D6 Solving Radical Equations Feb25

Last updated 7 months ago
16 questions
Note from the author:
WARM UP
Simplify each expression so that you only have positive exponents.
1
_______
1
_______
1
_______
1

How are these different?

1
Solve the equation.

x = _______
1
Solve the equation.

x = _______ and _______ .
(two different solutions)
Link to the video:
https://www.youtube.com/watch?v=5gRzztTSRnM
1
Solve the radical equation.

x = _______
1
Solve the radical equation.

x = _______
1
Solve the radical equation.
Isolate the radical before squaring.

x = _______
1
Solve the radical equation.
Isolate the radical before squaring.

x = _______

Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work? _______
1
Solve the radical equation.
Isolate the radical before squaring.

x = _______

Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work? _______
1
Solve the radical equation.
Isolate the radical before squaring.

x = _______

Always check your answer. Plug your solution back into the equation to be sure it works.
Does your solution work? _______

You get an answer, but it doesn't work. This is called an extraneous solution.

1
Solve the radical equation.

x = _______

1
Solve for x.

x =_______

This equation has extraneous solutions. They are _______ and _______ .
1
Solve for x.

The solution is x = _______ only.

The extraneous solution is _______ .
1
Solve the cube root.

x = _______
Need help solving quadratic equations?
Watch the videos below.