![]() Given a quadratic equation that cannot be factored and with a=1, first add or subtract the constant term to the right sign of the equal sign.We will use the example +4x+1=0 to illustrate each step. Then, we can use the following procedures to solve a quadratic equation by completing the square. If it does not, then divide the entire equation by a. To complete the square, the leading coefficient, a, must equal 1. Using this process, we add or subtract terms to both sides of the equation until we have a perfect square trinomial on one side of the equal sign. ![]() One method is known as completing the square. In these cases, we may use other methods for solving a quadratic equation. Not all quadratic equations can be factored or can be solved in their original form using the square root property. ![]()
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