Найдите корень уравнения (6х-5)²-(8х+9)²=0 - вопрос №658907205923 от Sultikutan 23.04.2020 05:03

Question

Алгебра: Найдите корень уравнения (6х-5)²-(8х+9)²=0

Sultikutan · Answer

(6x - 5)^2 - (8x + 9)^2 = 0
(6x - 5 - (8x + 9)) (6x - 5 + 8x + 9) = 0
(6x - 5 - 8x - 9)(6x - 5 + 8x + 9) = 0
( - 2x - 14) (14x + 4) = 0
- 4 (x + 7) (7x + 2) = 0
(x + 7 )(7x + 2) = 0

1) x + 7 = 0
x = - 7 ;

2) 7x + 2 = 0
7x = - 2
x = - 2/7

ответ
- 7; - 2/7