\[\boxed{\text{52\ (52).}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[\textbf{а)}\ 0,6x^{2} - 3,6x = 0\]
\[x^{2} - 6x = 0\]
\[x(x - 6) = 0\]
\[x_{1} = 0\ \ \ и\ \ \ x_{2} = 6.\]
\[Ответ:x = 0;x = 6.\]
\[\textbf{б)}\ x^{2} - 5 = 0\]
\[x^{2} = 5\]
\[x_{1,2} = \pm \sqrt{5}.\]
\[Ответ:x = \pm \sqrt{5}.\]
\[\textbf{в)}\ 2x^{2} + 17x = 0\]
\[x(2x + 17) = 0\]
\[x_{1} = 0\]
\[2x_{2} + 17 = 0\]
\[2x_{2} = - 17\]
\[x_{2} = - 8,5.\]
\[Ответ:x = 0;x = - 8,5.\]
\[\textbf{г)}\ 0,5x^{2} + 9 = 0\]
\[0,5x^{2} = - 9\]
\[x^{2} = - 18 \Longrightarrow корней\ нет.\]
\[Ответ:нет\ решений.\]