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4.6 Completing the Square Learning goals
solve quadratic equations by completing the square rewrite equations by completing the square
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Ex 1 Solve by finding square roots
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Ex 2 (both sides are perfect squares)
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If one side is not a perfect square we can make it a perfect square by Completing the Square. We force one side of the equation to become a perfect square trinomial by adding
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Ex 3 Find the value of c that creates a perfect square trinomial; then write the trinomial in factored form.
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Ex 4 Solve by completing the square
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Ex 5 Solve by completing the square
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Ex 6 Solve by completing the square
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Ex 7 Solve by completing the square
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Solving a Quadratic Equation by Completing the Square
Divide the entire equation by the leading coefficient (a) Move the constant to the other side of the equation Create a perfect square trinomial by adding to both sides of the equation Factor the perfect square trinomial Take the square root of both sides of the equation (remember BOTH roots!) Solve for x
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