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Completing the Square

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Math Algebra

on 8 February 2013

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Transcript of Completing the Square

5-5 Completing the Square Pgs 270 - 271 Pgs 271 - 272 Example 5 Example 4 Example 3 (cont.) Example 4 Example 3 Get Ready Example 2 Example 1 Pgs 268 - 269 For the lesson x^2 + 10x + 25 = 49 with Square Root Property x^2 - 6x + 9 = 32 by Square Root Property Complete the Square B/2 Solve an Equation by Completing the Square x = -4 +6 Equation with a = 1 Race cars slow to 60 mph Race cars can accelerate freely car finish line 500 feet t^2 + 22t + 121 = 246 x^2 + 10x + 25 = 49 (x + 5)^2 = 49 x + 5 = 49 x + 5 = +7 x = -5 +7 x = -5 + 7 x = -5 - 7 x = 2 x = -12 x^2 - 6x + 9 = 32 (x - 3)^2 = 32 x - 3 = + 32 x = 3 + 4 2 x = 3 - 4 2 x = 3 + 4 2 x = 8.7 x = -2.7 This is x^2 + 12x + c We want a value for "c" that will give us a perfect square (See next slide) a = 1 b = 12 c = ? 12/2 = 6 Square the result 6^2 = 36 This is your answer x^2 + 12x + 36 x^2 + 8x - 20 = 0 x^2 + 8x = 20 Not a perfect square (b/2)^2 x^2 + 8x + 16 = 20 + 16 (x + 4)^2 = 36 add 16 factor x + 4 = +6 SRP Next slide (Cont.) -4 to each side x = -4 - 6 x = -4 + 6 x = 2 x = -10 2x^2 - 5x + 3 = 0
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