设方程(1995x)^2-1994*1996x-1=0的较大根为m,方程x^2+1994x-1995=0的较小根为n,求m-n=?
问题描述:
设方程(1995x)^2-1994*1996x-1=0的较大根为m,方程x^2+1994x-1995=0的较小根为n,求m-n=?
写明原因
答
(1995x)^2-1994*1996x-1=0
(x-1)(1995^2x+1)=0
m=1
x^2+1994x-1995=0
(x-1)(x+1995)=0
n=-1995
m-n=1+1995
=1996