5.1.4 Completing the Square Key Objectives • Solve quadratic equations by using the Square Root Property. • Solve quadratic equations by completing the square. • Write quadratic equations in vertex form. Key Terms • Completing the square is a process used to form a perfect-square trinomial. Example 1 Solving Equations by Using the Square Root Property To solve a quadratic equation, you can take the square root of both sides. Be sure to consider the positive and negative square roots. Square Root Property If x 2 = a and a is a nonnegative real number, then =± x a .
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