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Solving an Equation with Radicals - Problem 13

Teacher/Instructor 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

In order to solve equations where a radical equals a constant, you first need to isolate the square root. From there, square both sides to "undo" the root, and solve for x. Once you have a solution(s), you'll need to check to make sure they're not extraneous. Any value of x that would make the radicand, or whatever is under the radical sign negative is outside of the domain, or extraneous. Here we'll see an example of a radical equation that has no solution.

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