Решите паже 5/(x – 1) – 3/(x + 1) = 15/(x2 – 1)

3,5

Пошаговое объяснение:

5/(х-1)-3/(х+1)=15/(х²-1)

5(х+1)-3(х-1)=15

5х+5-3х+3=15

2х+8=15

2х=15-8

2х=7

х=7:2

х=3,5

5*(x+1)*(x-1) 3*(x-1)*(x+1) 15(x+1)(x-1)
—————— – —————— = —————-
(x-1) (x+1) (X^2-1)

5*(x+1)*(x-1) 3*(x-1)*(x+1) 15(x+1)(x-1)
—————— – —————— = —————-
(x-1) (x+1) (x-1)(x+1)

5*(x+1)-3(x-1)=15

5x+5-3x+3=15
2x+8=15
2x=7
X=7/2
X=3,5