\[\left\{ \begin{matrix} y = 2x^{2} - 3x + 1 \\ y = - x^{2} + x - 1 \\ \end{matrix} \right.\ \]
\[2x^{2} - 3x + 1 = - x^{2} + x - 1\]
\[3x^{2} - 4x + 2 = 0\]
\[D = 16 - 24 < 0\]
\[Ответ:нет\ точек\ пересечения.\]