\[\boxed{\mathbf{132}.}\]
\[ax^{2} - 2x + 9 = 0\]
\[D_{1} = 1 - 9a\]
\[Уравнение\ имеет\ один\ \]
\[корень\ при\ D = 0.\]
\[1 - 9a = 0\]
\[9a = 1\]
\[a = \frac{1}{9}.\]
\[Ответ:при\ a = \frac{1}{9}.\]