solving radical equations

Front

What is a radical equation?

Back

An equation that involves a variable within a radical (square root, cube root, etc.).

Front

How do you isolate a radical in an equation?

Back

To isolate a radical, you can move all other terms to the opposite side of the equation.

Front

What is the first step in solving a radical equation?

Back

Square both sides of the equation to eliminate the radical.

Front

What is a radicand?

Back

The number or expression inside a radical sign.

Front

What happens when you square both sides of an equation?

Back

You eliminate the radical, but you must check for extraneous solutions.

Front

What is an extraneous solution?

Back

A solution that does not satisfy the original equation after checking.

Front

Solve the radical equation: √(x + 9) = 5

Back

x = 16.

Front

Solve the radical equation: √(2x - 1) = 3

Back

x = 5.

Front

What is the domain of a radical function?

Back

The set of all possible input values (x) for which the expression under the radical is non-negative.

Front

How do you check your solution in a radical equation?

Back

Substitute the solution back into the original equation to verify.