Question

решите уравнения х( х2-6х+5) = 12( х-5)

Answer 1

x(x²-6x+9-4)=12(x-5)
x((x-3)²-4)=12(x-5)
x(((x-3)-2)*((x-3)+2))=12(x-5)
x(x-5)(x-1)-12(x-5)=0
(x-5)(x(x-1)-12)=0
x-5=0
x=5
x(x-1)-12=0
x²-x-12=0
D=49
x1=4 x2=-3
Ответ:-3;4;5