Question

$\frac{12}{x - 1} - \frac{8}{x + 1 } = 1$
пожалуйста ответ

Answer 1

12/(x-1) - 8/(x+1) = 1

12(x+1) - 8(x-1)/(x-1)(x+1) = 1

12x+12-8x+8 = x²-1

4x+20 = x²-1

4x+20-х²+1 = 0

4x+21-х² = 0

D = 4²-4×(-1)×21 = 16+84 = 100 = 10²

х₁= -4+10/-2 = -3

x₂= -4-10/-2 = 7

Ответ: х₁= -3; x₂= 7