Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Solving Radical Equations - Problem 12

Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

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Since you can't have the square root of a negative number, there are limitations on what values of x are possible (or domain limitations) on any equation involving a square root of x. After you have solved for x, check to make sure your solution makes sense. A solution would be called extraneous if algebraically you didn't make any errors, but your x-value would be violating the rule that whatever is under the square root can not be negative. Check your solutions to make sure they're not outside the domain by substituting them in for x in the original equation.

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