已知x2+x-1=0,则代数式x3+2x2+2013的值为_.
问题描述:
已知x2+x-1=0,则代数式x3+2x2+2013的值为______.
答
∵x2+x-1=0,
∴x2+x=1,
x3+2x2+2013,
=x(x2+x)+x2+2013,
=x+x2+2013,
=2014;
故答案为:2014.