Решебник по алгебре 7 класс Мерзляк Задание 941

\[\boxed{\text{941\ (941).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[\left( x^{2} + y^{2} + y \right)^{2} = x^{2} + y^{2}\]

\[\ \left( 0 + y^{2} + y \right)^{2} = y^{2}\]

\[\left( y^{2} + y \right)^{2} = y^{2}\]

\[y^{4} + 2y^{3} + y^{2} = y^{2}\]

\[y^{3}(y + 2) = 0\]

\[y = 0;\ \ y = - 2 \Longrightarrow \text{\ \ }\]

\[\Longrightarrow (0;0),\ (0;\ - 2)\]

\[\left( x^{2} + 0 + 0 \right)^{2} = x^{2} + 0\]

\[x^{4} = x^{2}\text{\ \ }\]

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

\[x^{2}\left( x^{2} - 1 \right) = 0\]

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

\[x = 0,\ \ x = 1,\ \ x = - 1\]

\[(0;0),\ (1;0),\ ( - 1;0),\]