# 7.2 Completing the Square

**Using the Square Root Property • Solving a Quadratic Equation by Completing the Square**

Most quadratic equations that arise in applications cannot be solved by factoring. Therefore, we now develop a method called **completing the square,** which can be used to solve any quadratic equation. In the next section, this method is used to develop a general formula that can be used to solve any quadratic equation. Solving an equation by completing the square relies on the following property:

This property allows us to take the square root on both sides of an equation, ** but we must remember to include the positive and negative square root**. There are actually two solutions,

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