Решите уравнение: (x-4)^2=6.

\[(x - 4)^{2} = 6\]

\[x - 4 = \sqrt{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x - 4 = - \sqrt{6}\]

\[x = 4 + \sqrt{6}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = 4 - \sqrt{6}.\]