1/( x-1)^2+3/(x-1)-10=0

1/( x-1) ² + 3/(x - 1) - 10=0;

(1 + 3(х - 1) - 10(х-1) 2 )/(х - 1) ² = 0;

(1 + 3х - 3 - 10(х ² + 1 - 2х))/(х - 1) ²  = 0;

-2 + 3х - 10х ²  - 10 + 20х = 0;

(х - 1) ² ≠0 ⇒ х ≠ 1.

-10х ² + 23х - 12 = 0;

10х ² - 23х + 12 = 0;

Д = 529 + 4 * 12 * 10 = 529 - 480 = 49;

х1 = (23 + 7)/20 = 30/20 = 1,5;

х2 = (23 - 7)/20 = 16/20 = 4/5 = 0,8.