\[\ 2x^{2} - 11x + 12 = 0\]
\[D = b^{2} - 4ac = 121 - 4 \cdot 2 \cdot 12 =\]
\[= 121 - 96 = 25\]
\[x_{1} = \frac{11 + 5}{4} = \frac{16}{4} = 4\]
\[x_{2} = \frac{11 - 5}{4} = \frac{6}{4} = 1,5\]
\[Ответ:\ \ \ x = 4\ \ и\ \ x = 1,5.\]