Question

Помогите ерешить пример папа
5/(x – 1) – 3/(x + 1) = 15/(x2 – 1)
Даю 60 балов

Answer 1

$x\neq - 1 \: \: \: \: \: \: \: \: x\neq1 \\ \frac{5}{x - 1} - \frac{3}{x +1 } = \frac{15}{ {x}^{2} - 1 } \\ \frac{5}{x - 1} - \frac{3}{x + 1} - \frac{15}{(x - 1)(x + 1)} = 0 \\ \frac{5(x + 1) - 3(x - 1) - 15}{(x - 1)(x + 1)} = 0 \\ 5x + 5 - 3x + 3 - 15 = 0 \\ 2x -7 = 0 \\ 2x = 7 \\ x = 7 \div 2 \\ x = 3.5$

Answer 2

Ответ:

3,5

Пошаговое объяснение:

5/(х - 1) - 3/(х + 1) = 15/(х² - 1) ОДЗ: х≠1; х≠-1

5/(х - 1) - 3/(х + 1) - 15/(х² - 1) = 0

5(х - 1) - 3/(х + 1) - 15/(х-1)(х+1) = 0

5(х + 1) - 3(х - 1) - 15 / (х - 1)(х + 1) = 0

5х + 5 - 3х + 3 - 15 / (х - 1)(х + 1) = 0

2х - 7 / (х -1)(х + 1) = 0

2х = 7

х = 7 : 2

х = 3,5 х ≠ 1; х ≠ -1