2x²+5x-1-(x²+8x-4)
=2x²+5x-1-x²-8x+4
=x²-3x+3
=(x²-3x+9/4)+3/4
=(x-3/2)²+3/4
≥3/4＞0
∴不论x取何值代数式2x的平方+5x-1总比x的平方+8x-4的值大