若(N+1998)^2=65432178,求(N+1988)(N+)的值?
问题描述:
若(N+1998)^2=65432178,求(N+1988)(N+)的值?
若(N+1998)^2=65432178,求(N+1988)(N+2008)的值?
答
因为(N+1998)^2=N^2+2*1998N+1998^2=65432178;(N+1988)(N+2008)=N^2+2*1998N+1988*2008=N^2+2*1998N+(1998-10)(1998+10)=N^2+2*1998N+1998^2-10^2=(N+1998)^2-10^2=65432178-100=65432078.所以本题目根本可以不用解...