\[x^{2} + x - 56 > 0\]
\[x^{2} + x - 56 = 0\]
\[По\ теореме\ Виета:\]
\[x_{1} + x_{2} = - 1;\ \ x_{1} \cdot x_{2} = - 56\]
\[x_{1} = - 8;\ \ x_{2} = 7.\]
\[(x + 8)(x - 7) > 0\]
\[При\ x \in ( - \infty; - 8) \cup (7; + \infty).\]