The given equation is x2 + 14x +34 =0

 

              Or,                x2 + 14x +49 -15=0

 

                                   x2 + 14x+49 = 15

 

                                    (x+7)2  =15

 

                                      (x+7)= ±√15

 

                                        X= -7±√15

                                                ****