Решите уравнение: (x+y)^2+(x-1)^2=0.

\[(x + y)^{2} + (x - 1)^{2} = 0\]

\[\left\{ \begin{matrix} x + y = 0 \\ x - 1 = 0 \\ \end{matrix} - \right.\ \text{\ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} y + 1 = 0 \\ x = 1\ \ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]

\[\left\{ \begin{matrix} y = - 1 \\ x = 1\ \ \ \ \\ \end{matrix} \right.\ \]

\[Ответ:(1;\ - 1).\]