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Find the extraneous solution for the radical equations given below. Problem 1 : √(x + 4) = x - 2. Solution : √(x+4) = x-2. Take power 2 on both sides. [√(x + 4)] 2 = (x-2) 2. x + 4 = x 2 - 2x(2) + 2

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Recognize the potential for an extraneous solution. Recall that after isolating the radical on one side of the equation, you then squared both sides to remove the radical sign.

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Extraneous Solutions. An extraneous solution is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

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