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Solving Quadratic Equations Using Square Roots - Problem 5

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

There are two circumstances in which the easiest way to solve a quadratic equation may be to square root both sides: in standard form if "b" = 0, or if you have a binomial squared, as in vertex form. If "b" = 0, you could try adding the constant to both sides, isolating the x^2 part by dividing by an "a" value if necessary, and then square rooting both sides. If you have vertex form, isolate the squared piece, then square root both sides. You'll need to do one more step to get x isolated. Be sure to include both the positive and negative square roots to get two solutions! This method is often overlooked, but with practice, it can be the easiest way to solve a quadratic equation.

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