1/(x- 2)^2 - 1 / (x - 2) - 6 = 0
(1 - x + 2 - 6x^2 + 24x - 24) / (x - 2)^2
6x^2 - 23x + 22 = 0
ОДЗ: x - 2 ≠ 0, x ≠ 2
D = 529 - 4*6*22 = 529 - 528 = 1
x1 = (23 - 1) /12
x1 = 11/6
x1 = 1(5/6)
x2 = (23 + 1)/12
x2 = 2 не удовлетворяет ОДЗ
Ответ: х = 1(5/6)