Общие виды замены, используемые в средней школе.

Общие виды замены, используемые в средней школе.

1. +с=0,                                                                                                                         ,   
2. ,                                                                                                    f(x)=t,                                                                                                Например:
3.   ( симметричное уравнение)                                                              Общий приём: делим на переменную, слагаемого, стоящего в середине (х≠0, так как а≠0).                                                                                                                                             ,                                                                                                      ,                                                                                               ,          ,     ,                                                                    .
4.   (однородное уравнение).                                                                               1) Выясняем, являются ли корни уравнения f(x)=0 или g(x)=0 корнями данного уравнения.   Если являются, то запоминаем их.                                                                           2)  Если f(x)≠0 или g(x)≠0, то делим                                                                                                                                             

,                                                                                                         ,                                                                                                                                               .

1. ,                                                                                                                        f(x)=y,                                                                                                                                             ,                                                                                                                               .