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 9

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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When you are asked to solve an equation involving a square root, there are four key steps: 1.) isolate the radical (meaning un-do whatever is being done to the root in order to get it all by itself), 2.) square both sides of the equation to un-do the root, 3.) solve for x, and 4.) 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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