\[\boxed{\mathbf{995.ОК\ ГДЗ - домашка\ на}\ 5}\]
\[\mathbf{Дано:}\]
\[M_{1}( - 2;4);\]
\[M_{2}(6;8);\]
\[X(x;0);\]
\[M_{1}X = M_{2}\text{X.}\]
\[\mathbf{Найти:}\]
\[XS - ?\]
\[\mathbf{Решение.}\]
\[1)\ M_{1}X =\]
\[= \sqrt{( - 2 - x)^{2} + (4 - 0)^{2}} =\]
\[= \sqrt{( - 2 - x)^{2} + 16};\]
\[M_{2}X = \sqrt{(6 - x)^{2} + (8 - 0)^{2}} =\]
\[= \sqrt{(6 - x)^{2} + 64}.\]
\[2)\ ( - 2 - x)^{2} + 16 =\]
\[= (6 - x)^{2} + 64\]
\[4 + 4x + x^{2} + 16 =\]
\[= 36 - 12x + x^{2} + 64.\]
\[16x = 80\]
\[x = 5.\]
\[X(5;0).\]
\(Ответ:X(5;0).\)