Solving by Square roots

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What is the square root of a number?

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The square root of a number x is a value y such that y² = x. For example, the square root of 16 is 4, since 4² = 16.

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What does it mean to solve an equation by square roots?

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Solving by square roots involves isolating the variable squared and then taking the square root of both sides to find the possible values of the variable.

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Front

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

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Squaring both sides of an equation maintains equality, but it can introduce extraneous solutions that must be checked.

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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.