Решебник по алгебре 7 класс Мерзляк Задание 57

\[\boxed{\text{57\ (57).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ mx = 3\]

\[x = \frac{3}{m}\]

\[x\ будет\ целым\ при\ m = \pm 1;\ \]

\[\pm 3\]

\[Ответ:m = 1;\ - 1;3;\ - 3.\]

\[2)\ (m + 4) \cdot x = 49\]

\[x = \frac{49}{m + 4}\]

\[m + 4 = 49 \Longrightarrow \ \ \ \ \ \ \ \ \ \ \ m = 45\]

\[m + 4 = - 49 \Longrightarrow \ \ m = - 53\]

\[m + 4 = 7 \Longrightarrow \ \ \ \ \ \ \ \ \ \ \ m = 3\]

\[m + 4 = - 7 \Longrightarrow \ \ \ \ \ \ \ \ \ \ m = - 11\]

\[m + 4 = 1 \Longrightarrow \ \ \ \ \ \ \ \ \ \ \ m = - 3\]

\[m + 4 = - 1 \Longrightarrow \ \ \ \ \ \ \ \ m = - 5\]

\[Ответ:m = 45;\ - 53;\ 3;\ - 11;\ \]

\[- 3;\ - 5.\]