(x-1)(x-2)(x-3)(x-4)=24

Question

(x-1)(x-2)(x-3)(x-4)=24

Answer 1

[(x-1)(x-4)]*[(x-2)(x-3)]=24
(x²-5x+4)*(x²-5x+6)=24
x²-5x+4=a
a(a+2)-24=0
a²+2a-24=0
a1+a2=-2 U a1*a2=-24
a1=-6⇒x²-5x+4=-6
x²-5x+10=0
D=25-40=-15 нет решения
a2=4⇒x²-5x+4=4
x²-5x=0
x(x-5)=0
x=0
x=5