已知x^2-5x=6,求(x-1)(x-2)(x-3)(x-4)

2025-01-19 11:29:58
推荐回答(3个)
回答1:

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

回答2:

x^2-5x+6=12=(x-2)(x-3)=12
x^2-5x+4=10=(x-1)(x-4)=10
(x-1)(x-2)(x-3)(x-4)=12x10=120

回答3:

120答案是一样的,X=6或-1