\[\boxed{\mathbf{519\ (519).\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ \sqrt{x^{2}} = x + 8\]
\[|x| = x + 8\]
\[x - x = 8,\ \ - x - x = 8\]
\[Ответ:\ x = - 4.\]
\[2)\ \sqrt{x^{2}} = 6x - 10\]
\[|x| = 6x - 10\]
\[x - 6x = - 10\]
\[- 5x = - 10\]
\[x = 2\]
\[Ответ:x = 2.\]
\[\boxed{\mathbf{51}\mathbf{9}\text{.}\text{\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]
\[при\ a = - 8:\]
\[a^{2} = ( - 8)^{2} = 64.\]
\[a^{2} = 7^{2} = 49.\]
\[( - a)^{2} = \left( - ( - 8) \right)^{2} = 8^{2} = 64.\]
\[при\ a = 7:\]
\[( - a)^{2} = ( - 7)^{2} = 49.\]
\[|a|^{2} = a^{2} = ( - 8)^{2} = 64.\]
\[|a|^{2} = a^{2} = 7^{2} = 49.\ \]
\[Вывод:квадрат\ и\ модуль\ \]
\[числа\ есть\ числа\ \]
\[неотрицательные.\]
\[При\ любом\ значении\ a:\]
\[a^{2} = ( - a)^{2} = |a|^{2}\]