对任意实数X,来比较X²-7X+12与(X-6)(X-1)的大小

问题描述:

对任意实数X,来比较X²-7X+12与(X-6)(X-1)的大小

x²-7x+12-(x-6)(x-1)
=x²-7x+12-(x²-7x+6)
=6>0
∴X²-7X+12>(X-6)(X-1)