Exam Review

Front

What is an extraneous solution?

Back

An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

Front

How do you check for extraneous solutions?

Back

To check for extraneous solutions, substitute the solution back into the original equation to see if it holds true.

Front

Back

x = 4

Front

What is the first step in solving radical equations?

Back

Isolate the radical on one side of the equation.

Front

Back

x = \frac{1}{3}.

Front

What is the importance of checking solutions in radical equations?

Back

It ensures that the solutions found are valid and not extraneous.

Front

Back

x = 7.

Front

What is 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

x = 1.

Front

What is the domain of a radical function?

Back

The domain is the set of all possible input values (x) for which the function is defined, typically requiring the expression under the radical to be non-negative.