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5.8 Completing_the_Square[1].notebook                   December 03, 2012


                Completing the Square

                (x ­ 3)2 = 7            (2x ­ 3)2 = 7




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5.8 Completing_the_Square[1].notebook   December 03, 2012



                x2 + 10x + 29 = 0
                x2 + 10x + 25  = ­4
                      (x + 5)2 = ­4




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5.8 Completing_the_Square[1].notebook                                       December 03, 2012


                                             Steps
                  x2 + 6x + 13 = 0           1. Move constant term to right side
                                             2. Song
                                             3. Factor the left side
                                             4. Solve by taking the square root




                                        take half, squared, add it
                                        take half, squared, add it
                                        take half, squared, add it
                                        then you'll complete the square ­ hey


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5.8 Completing_the_Square[1].notebook   December 03, 2012



                y2 ­ 14y ­ 1 = 0




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5.8 Completing_the_Square[1].notebook   December 03, 2012



                  m2 + m = 2




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5.8 completing the square