Quarter 2 Independent Assignment #6 on Solving Radical Equations

Front

Define a radical equation.

Back

A radical equation is an equation in which a variable is contained within a radical (square root, cube root, etc.).

Front

Back

Front

Back

x = 120.

Front

What does it mean if an equation has extraneous solutions?

Back

Extraneous solutions are solutions that do not satisfy the original equation after substitution.

Front

Back

x = 7.

Front

What is the significance of checking solutions in radical equations?

Back

Checking solutions ensures that they are valid and not extraneous, which can arise from squaring both sides of an equation.

Front

Back

x = \frac{62}{5}.

Front

What is the general approach to solving radical equations?

Back

Isolate the radical, raise both sides to the appropriate power, and solve for the variable.

Front

Back

x = 7.

Front

What is an example of an extraneous solution?

Back