\[\boxed{\text{850.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[\textbf{а)}\ a² - 6a + 14 > 0\]
\[a^{2} - 6a + 9 + 5 > 0\]
\[(a - 3)^{2} + 5 > 0\]
\[верно,\ так\ как\ (a - 3)^{2} > 0.\]
\[\textbf{б)}\ b² + 70 > 16b\]
\[b^{2} - 16b + 70 > 0\]
\[b^{2} - 16b + 64 + 6 > 0\]
\[(b - 8)^{2} + 6 > 0\]
\[верно,\ так\ как\ (b - 8)^{2} > 0.\]