Объяснение:
2х + 3 / х + 2 = 3х + 2 / х
(2х + 3)х = (3х + 2)(х + 2)
(2х + 3)х - (3х + 2)(х + 2) = 0
2х² + 3х - (3х² + 8х + 4) = 0
2х ² + 3х - 3х² - 8х - 4 = 0
-х² - 5х - 4 = 0
х² + 4х + х + 4 = 0
(х + 4)(х + 1) = 0
х + 4 = 0 х + 1 = 0
х = - 4 х = - 1
Ответ : х₁ = - 4 ; х₂ = - 1
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Объяснение:
2х + 3 / х + 2 = 3х + 2 / х
(2х + 3)х = (3х + 2)(х + 2)
(2х + 3)х - (3х + 2)(х + 2) = 0
2х² + 3х - (3х² + 8х + 4) = 0
2х ² + 3х - 3х² - 8х - 4 = 0
-х² - 5х - 4 = 0
х² + 4х + х + 4 = 0
(х + 4)(х + 1) = 0
х + 4 = 0 х + 1 = 0
х = - 4 х = - 1
Ответ : х₁ = - 4 ; х₂ = - 1
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