Question

решите уравнение (х-4)(х-5)(х-6)=(х-2)(х-5)(х-6)

Answer 1

$(x-4)(x-5)(x-6)=(x-2)(x-5)(x-6) \ (x-4)(x-5)(x-6)-(x-2)(x-5)(x-6)=0 \ ((x-5)(x-6))((x-4)-(x-2))=0\ (x-5)(x-6)=0\x-5=0\x=5\x-6=0\x=6 \ x-4-(x-2)=0\x-4-x+2=0\0=2\0 neq 2 \ \ Otviet:5;6$

Answer 2

(x-4)(x-5)(x-6) -(x-2)(x-5)(x-6)=0
(x-5)(x-6)[(x-4)-(x-2)]=0
(x-5)(x-6)(x-4-x+2)=0
4(x-5)(x-6)=0
x-5=0⇒x=5
x-6=0⇒x=6