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3
                     k =


               4     b = - 8


               5     27

               6     Hint:The given equation will have equal roots if discriminant D = 0
                              2
                        (c - a)  -4(b - c)(a - b) = 0
                          c + a - 2b = 0
                        2b = a + c


               7



                                2
               8     Hint:D = a  + 16 > 0 for all a   R.

                                                  2
               9     Hint:The given polynomial 4x  + kx + 1 is factorisable if D     0
                     Hence, the required set of values is {k    R : k    -4 or k    4}






































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