5/(x-1) – 3/(x+1) = 4(x2 – 1) решите

Question

5/(x-1) – 3/(x+1) = 4(x2 – 1)
решите

Answer 1

5/(x-1) - 3/(x+1) = 4(x2 - 1) 
ОДЗ: x≠0
(x2 - 1) = (x-1)(x+1) ⇒ 5/(x-1) - 3/(x+1) = 4(x-1)(x+1) | (x+1)(x-1) - общий знаменатель ⇒ 5(x+1) - 3(x-1) = 4
5x+1-3x+3=4
5x+1-3x+3-4=0
2x=0
x=0
Ф