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Algebra 1 Warm up #3 Solve by factoring:
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9-5 solve by Completing the square
Objective: To solve a quadratic equation by completing the square.
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Problem 1
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Complete the Square Practice
a2 + 2ab + b2 x2 – 6x + ____ x • 2 • ____ = -6x y2 + 12y + ____ y • 2 • ____ = 12y n2 + 16n + ____ n • 2 • ____ = 16n Square root of the first term times 2 times square root of the last term equals the middle term. 9 -3 36 6 64 8
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Try with a Partner Find the value of c that makes each trinomial a perfect square. x2 – 20x + c y2 – 3y + c x2 + x + c Answers: 100 9/4 1/4
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Problem 1 Solve by completing the square.
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Problem 2 Solve by completing the square.
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Problem 3 Solve by completing the square.
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Homework 9-5 Worksheet
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