2005x^2-(2005^2-1)x-2005用换元法解
问题描述:
2005x^2-(2005^2-1)x-2005用换元法解
答
令y=2005
yx^2 - (y^2 -1 )x-y
= yx^2 - y^2 * x +x-y
= xy(x-y) + (x-y)
= (xy+1)(x-y)
= (2005x+1)(x-2005)