ГДЗ по алгебре 9 класс Макарычев Задание 1042

\[\boxed{\text{1042\ (1042).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[y = x^{2} - 4x + |2x - 8|\]

\[1)\ 2x - 8 \geq 0\]

\[x \geq 4,\]

\[x^{2} - 4x + 2x - 8 = 0\]

\[x^{2} - 2x - 8 = 0\]

\[D = 4 + 32 = 36\]

\[x_{1} = \frac{2 + 6}{2} = 4,\ \ y_{1} = 0,\]

\[x_{2} = \frac{2 - 6}{2} = - 2 \Longrightarrow не\ \]

\[подходит\ по\ условию.\]

\[2)\ 2x - 8 < 0\]

\[x < 4,\]

\[x^{2} - 4x - 2x + 8 = 0\]

\[x^{2} - 6x + 8 = 0\]

\[D = 36 - 32 = 4,\]

\[x_{1} = \frac{6 + 2}{2} = 4 \Longrightarrow не\ подходит\ \]

\[по\ условию.\]

\[x_{2} = \frac{6 - 2}{4} = 2,\ \ y_{2} = 0.\]

\[Ответ:(4;0);\ \ (2;0).\]