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## Solving Quadratic Equations – Completing the Square

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**Solving Quadratic Equations – Completing the Square**• It is assumed you have already watched the slideshow demonstrating how to complete the square on a binomial. • The previous methods of factoring and square roots to solve quadratics were limited, in that there are many quadratic equations that neither method would solve. • Completing the Square is a method that can be used to solve any quadratic equation**Write the equation in the form**Solving a Quadratic Equation by Completing the Square Complete the square Factor the perfect square trinomial Solve using the square root method**Example 1:**Solve the equation. Note that the equation is already in the proper form. Complete the square. Add this value to both sides of the equation.**Factor**Complete the problem using the square root method.**Example 2:**Solve the equation. Write the equation in the proper form. Complete the square. Be sure to add the same value to both sides of the equation.**Factor**Complete the problem using the square root method.**Example 3:**Solve the equation. Write the equation in the proper form. Complete the square and add to both sides. Simplify**Factor**Complete the problem using the square root method.**Example 4:**Solve the equation. Write the equation in the proper form. Divide by 3 which is the coefficient of the quadratic term. To be able to complete the square, the coefficient of the quadratic term must be 1.**Complete the square.**Factor Complete the problem using the square root method.**Example 5:**Solve the equation. Write the equation in the proper form. Complete the square. Factor**END OF PRESENTATION**Click to rerun the slideshow.