\[x^{2} + 10x + 22 = 0\]
\[D_{1} = 25 - 22 = 3\]
\[x_{1} = - 5 + \sqrt{3};\]
\[x_{2} = - 5 - \sqrt{3}.\]
\[Ответ:x = - 5 \pm \sqrt{3}.\]