вправа 1067 гдз 7 клас алгебра Мерзляк Полонський
7 клас ➠ алгебра ➠ Мерзляк Полонський
Вправа 1067
Відповідь:
\begin{equation}1)\left\{\begin{matrix}
x+y=0,\\x-3=0;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
y=-3,\\x=3;
\end{matrix}\right.
\end{equation}
2) (x + 2y - 3)² + (x - 2y)² = 0;
\begin{equation}\left\{\begin{matrix}
x+2y-3=0,\\x-2y=0;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
2y+2y-3=0,\\x=2y;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
y=\frac{3}{4},\\x=\frac{3}{2};
\end{matrix}\right.
\end{equation}
\begin{equation}3)\left\{\begin{matrix}
x-3y-6=0,\\9x+6y-32=0;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
x-3y=6,\\9x+6y=32;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
2x-6y=12,\\9x+6y=32;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
11x=44,\\3y=x-6;
\end{matrix}\right.
\end{equation}
\begin{equation}\left\{\begin{matrix}
x=4,\\y=-\frac{2}{3};
\end{matrix}\right.
\end{equation}
4) (x² + 10x + 25) +
+ (y² - 12y + 36) = 0;
(x + 5)² + (y - 6)² = 0; \begin{equation}\left\{\begin{matrix} x+5=0,\\y-6=0; \end{matrix}\right. \end{equation} \begin{equation}\left\{\begin{matrix} x=-5,\\y=6; \end{matrix}\right. \end{equation} 5) (25x² + 30xy + 9y²) +
+ (y² + 8y + 16) = 0;
(5x + 3y)² + (y + 4)² = 0; \begin{equation}\left\{\begin{matrix} 5x+3y=0,\\y+4=0; \end{matrix}\right. \end{equation} \begin{equation}\left\{\begin{matrix} 5x=12,\\y=-4; \end{matrix}\right. \end{equation} \begin{equation}\left\{\begin{matrix} x=2,4,\\y=-4. \end{matrix}\right. \end{equation}
+ (y² - 12y + 36) = 0;
(x + 5)² + (y - 6)² = 0; \begin{equation}\left\{\begin{matrix} x+5=0,\\y-6=0; \end{matrix}\right. \end{equation} \begin{equation}\left\{\begin{matrix} x=-5,\\y=6; \end{matrix}\right. \end{equation} 5) (25x² + 30xy + 9y²) +
+ (y² + 8y + 16) = 0;
(5x + 3y)² + (y + 4)² = 0; \begin{equation}\left\{\begin{matrix} 5x+3y=0,\\y+4=0; \end{matrix}\right. \end{equation} \begin{equation}\left\{\begin{matrix} 5x=12,\\y=-4; \end{matrix}\right. \end{equation} \begin{equation}\left\{\begin{matrix} x=2,4,\\y=-4. \end{matrix}\right. \end{equation}