\[\boxed{\text{1051\ (1051).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[x^{2} - 19x + 78 = 0\]
\[D = 361 - 312 = 49\]
\[x_{1} = \frac{19 + 7}{2} = 13,\ \ \]
\[x_{2} = \frac{19 - 7}{2} = 6,\]
\[1)\ x_{1} = 13,\ \ y_{1} = - 15,\]
\[2)\ x_{2} = 6,\ \ y_{2} = - 1.\]
\[Ответ:(13;\ - 15);\ \ (6;\ - 1).\]