\[\sqrt{3x - 7} = x - 1\]
\[3x - 7 = (x - 1)^{2}\]
\[3x - 7 = x^{2} - 2x + 1\]
\[x^{2} - 5x + 8 = 0\]
\[D = 25 - 32 = - 7 < 0\]
\[нет\ корней.\]
\[Ответ:нет\ корней.\]