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Published byLinette Johnston Modified over 6 years ago

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6-4 Completing the Square Objective: Students will be able to solve quadratic equations by completing the square.

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Another way to solve quadratic equations is by a method called completing the square. One of the benefits to completing the square is that you can still attain exact roots, even when a quadratic equation is not factorable. Let’s look at the steps for completing the square…

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Steps for completing the square: 1)Set your equation to the form: (the “a” coefficient on the x must be 1) 2) Find half of your “b” coefficient 3) Square the result in step 2 4) Add the result to both sides of the equation (this guarantees the equation stays balanced) 5) Factor the left side; simplify the right side 6) Solve the equation

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Let’s solve the same equation two ways: first by factoring, and then by completing the square. Factoring

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Completing the square

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Solve each equation by completing the square. 1)

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2)

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3)

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4)

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Try these. 5) 6)

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