\[21x^{2} - 22x + 5 \leq 0\]
\[21x^{2}\ - 22x + 5 = 0\]
\[D = 484 - 420 = 64\]
\[x_{1} = \frac{22 - 8}{42} = \frac{1}{3}\]
\[x_{2} = \frac{22 + 8}{42} = \frac{5}{7}\]
\[Ответ:целых\ решений\ нет.\]