\[\boxed{\text{586.}\text{\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
Пояснение.
Решение.
\[10x^{2} - 33x + c = 0\ \ \ \ \ |\ :10\ \ \ \ \ \ \ \ \ \ \ \ \ \ \]
\[x^{2} - 3,3x + 0,1c = 0;\ \ \ \ x_{1} = 5,3:\]
\[0,1c = 5,3 \cdot ( - 2) = - 10,6\]
\[c = - 10,6\ :0,1 = - 106.\]
\[Ответ:c = - 106;\ x_{2} = - 2.\ \]