3/x - 4/(1-x) = (5-x)/(x²-1)
3/x - 4/(1-x) - (5-x)/(x²-1) = 0
3/x + 4/(x-1) - (5-x)/(x²-1) = 0
(3(x-1)(x+1)+4x(x+1)-x(5-x))/(x(x-1)(x+1)) = 0
(3x²-3+4x²+4x-5x+x²)/(x(x-1)(x+1)) = 0
(8x²-x-3)/(x(x-1)(x+1)) = 0
ОДЗ: x≠0; x≠1; x≠-1
8x² - x - 3 = 0
D = (-1)² - 4 * 8 * (-3) = 1 + 96 = 97
x₁,₂ = (1±√96)/16
ответ: x₁=(1-√96)/16; x₂= (1+√96)/16
