Решите уравнение: (x-4)^2+(x-6)^2=2.

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

\[2x^{2} - 20x + 50 = 0\ \ \ \ \ \ \ \ \ \ |\ :2\]

\[x^{2} - 10x + 25 = 0\]

\[(x - 5)^{2} = 0\]

\[x - 5 = 0\]

\[x = 5\]

\[Ответ:x = 5.\]