Решите уравнение (x−2)(x−4)(x−6)=(x−2)(x−3)(x−6). - вопрос №4817314246236 от Lidiiiiiiiiiia 13.03.2022 11:13

Question

Алгебра: Решите уравнение (x−2)(x−4)(x−6)=(x−2)(x−3)(x−6).

Lidiiiiiiiiiia · Answer

(x - 2) (x - 6) (x - 4) - (x - 2) (x - 6) (x - 3) = 0
(x - 2)(x - 6) * (x - 4 - (x - 3)) = 0
(x - 2) (x - 6) * ( x - 4 - x + 3 ) = 0
(x - 2) (x - 6) * (- 1) = 0 //: (-1)
(x - 2 ) (x - 6) = 0
x₁ = 2
x₂ = 6