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2.4 Algebra 2cc Section 2.4 Solve quadratic equations by completing the square Note: you can’t solve x 2 + 6x + 2 = 0 by factoring or by square roots…

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Presentation on theme: "2.4 Algebra 2cc Section 2.4 Solve quadratic equations by completing the square Note: you can’t solve x 2 + 6x + 2 = 0 by factoring or by square roots…"— Presentation transcript:

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2 2.4 Algebra 2cc Section 2.4 Solve quadratic equations by completing the square Note: you can’t solve x 2 + 6x + 2 = 0 by factoring or by square roots… Solve by completing the square. x 2 + 6x + 2 = 0 To solve a quadratic equation by completing the square 1.Make the leading coefficient one 2.Isolate the constant 3.Add the square of ½ the linear coefficient 4.Factor – square root-solve

3 Solve by completing the square 3x 2 – 6x + 12 = 0½ x 2 + 5x - 16 = 0

4 On dry asphalt, the distance d in feet needed for a car to stop is given by d =.05s 2 + 1.1s where s is the car’s speed in miles per hour. What speed limit should be posted on a road where drivers round a corner and have 80 feet to stop?

5 When a gray kangaroo jumps, its path through the air can be modeled by y = -.0267x 2 +.8x where x is the kangaroo’s horizontal distance traveled in feet and y is its corresponding height in feet. How far has the kangaroo traveled horizontally when it is 4 feet high?

6 assignment Page 287 Problems 4-14 even, 48-72 even, 85,86,90


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