已知n的2次方加n减1等于0,求n的3次方减2n加2011的值
问题描述:
已知n的2次方加n减1等于0,求n的3次方减2n加2011的值
急用...........
答
n^2+n-1=0
n^2+n=1
n^2=1-n
n^3-2n+2011
=n*n^2-2n+2011
=n(1-n)-2n+2011
=n-n^2-2n+2011
=-n^2-n+2011
=-(n^2+n)+2011
=-1+2011
=2010