Solving Using Square Roots
Overview
Goal. Solve equations in the form x² = d and (x − h)² = d by taking square roots of both sides, stating both solutions with ± and simplifying radicals.
Square root property (statement). If x² = d and d is positive, then x = √d or x = −√d. If d is 0, the only solution is x = 0; if d is negative, there is no real solution.
Lesson Notes
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Lesson Video
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Interactive Activity
Goal. Solve equations of the form x² = d and (x − h)² = d by taking square roots — always writing both roots with ±, unless the situation rules one out.
Square root property (statement). If x² = d and d is positive, then x = √d or x = −√d. If d is 0, the only solution is x = 0; if d is negative, there is no real solution.