11.5 Solve Quadratics and Radical Equations Mixed

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What is the square root of a number?

Back

The square root of a number x is a value y such that y² = x. For example, the square root of 9 is 3, since 3² = 9.

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Front

What does it mean to take the square root of a number?

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Taking the square root of a number means finding a value that, when multiplied by itself, gives the original number.

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

Back

Squaring both sides of an equation is a method used to eliminate square roots, but it can introduce extraneous solutions.

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What is an extraneous solution?

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An extraneous solution is 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 check if a solution is valid?

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To check if a solution is valid, substitute it back into the original equation to see if both sides are equal.