Решите уравнение:x(x^2-6x+5)=12(x-5)

Question

Решите уравнение:x(x^2-6x+5)=12(x-5)

Answer 1

X (x - 5)(x - 1) = 12(x - 5)
(x - 5) (x(x - 1) - 12) = 0
(x - 5)(x^2 - x - 12) = 0

1) x - 5 = 0
x = 5

2) x^2 - x - 12 = 0
D = 1 + 4*12 = 49
x1 = (1 + 7)/2 = 8/2 = 4
x2 = (1 - 7)/2 = - 6/2 = - 3

Ответ
- 3; 4 ; 5 

Comments

Спасибо большое!