解:(x-1)(x-2)(x-3)(x-4)=(x-1)(x-4)(x-2)(x-3)=(x²-5x+4)(x²-5x+6)∵x²-5x=6∴(x-1)(x-2)(x-3)(x-4) =(6+4)*(6+6)= 10*12=120
x^2-5x+6=12=(x-2)(x-3)=12x^2-5x+4=10=(x-1)(x-4)=10(x-1)(x-2)(x-3)(x-4)=12x10=120
120答案是一样的,X=6或-1