设方程（2008x）²-2007×2009x-1=0和x²+2007x-2008=0的较小根分别是α

(2008x)^2-(2008-1)*(2008+1)x-1=0
(2008x)^2-(2008^2)x+x-1=0
(2008^2)x(x-1)+(x-1)=0
((2008^2)x+1)(x-1)=0
α =-1/2008^2
x^2+2007x-2008=0
(x+2008)(x-1)=0
β=-2008
αβ=1/2008