Algebra II Ch 5 sect 4-6 Review

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Back

x = 6

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x = 256

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x = -5

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x = 36

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x = 4

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Define a radical equation.

Back

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

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What is the principle of squaring both sides of an equation?

Back

It is a method used to eliminate a square root by raising both sides of the equation to the power of 2.

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What is the importance of checking solutions in radical equations?

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To ensure that the solutions do not produce extraneous results when substituted back into the original equation.

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What is an extraneous solution?

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A solution that emerges from the process of solving an equation but does not satisfy the original equation.

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How do you isolate a variable in an equation?

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By performing inverse operations to get the variable alone on one side of the equation.