Решите уравнение: (x+y)^2+(x-1)^2=0.

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

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

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

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

\[Ответ:(1;\ - 1).\]