Question

(x+1)/(x-2)-(x+3)/(x-1)=1
Помогите, пожалуйста

Answer 1

Объяснение:

(x + 1)/(x - 2)-(x + 3)/(x - 1)=1

(x + 1)/(x - 2)-(x + 3)/(x - 1) - 1 = 0

х² - 1 - (х² + 3х - 2х - 6)-(х² - х - 2х + 2) /(х - 2)(х - 1) = 0

х² - 1 - х² - х + 6 - х² + 3х - 2/(х - 2)(х - 1) = 0

3 + 2х - х²/(х - 2)(х - 1) = 0

3 + 2х - х² = 0

х² - 2х - 3 = 0

х(х + 1) - 3(х + 1) = 0

(х + 1)(х - 3) = 0

х + 1 = 0 х - 3 = 0

х = -1 х = 3

Ответ : х₁ = - 1 ; х₂ = 3