Radical Equations Flashcard

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.).

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Back

Front

How do you eliminate a square root in an equation?

Back

Square both sides of the equation to eliminate the square root.

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Back

x = 19.

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Back

x = 20.

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What does it mean if a radical equation has no solution?

Back

It means that there are no values for the variable that satisfy the equation.

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Back

x = 7.

Front

What is the importance of checking solutions in radical equations?

Back

To ensure that the solutions do not create extraneous solutions, which are false solutions introduced when squaring both sides.

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Back

x = 20.

Front

What is an extraneous solution?

Back

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