Решите (3х-1)^2=2(3х-1) 9-(2х-3)^2=0 - вопрос №349916931223192320 от Maksander 25.02.2020 20:28

Question

Алгебра: Решите (3х-1)^2=2(3х-1) 9-(2х-3)^2=0

Maksander · Answer

1) (3х - 1)² = 2(3х - 1)
(3х - 1)² - 2(3х - 1) = 0
(3x - 1)(3x - 1 - 2) = 0
3x - 1 = 0
3x = 1
x₁ = 1/3
3x - 3 = 0
3x = 3
x₂ = 1
ответ: 1/3; 1
2) 9 - (2х - 3)² = 0
(3 - 2x + 3)(3 + 2x - 3) = 0
6 - 2x = 0
2x = 6
x₁ = 3
2x = 0
x₂ = 0
ответ 3; 0