Решите неравенство: x^2+2x+2>0.

\[x^{2} + 2x + 2 > 0\]

\[x^{2} + 2x + 2 = 0\]

\[D = 4 - 8 = - 4 < 0\]

\[a > 0;\ \ \ D < 0 \Longrightarrow ( - \infty; + \infty)\]

\[Ответ:\ \ ( - \infty; + \infty).\]