问题 填空题

已知t2+t-1=0,则t3+2t2+2008=______.

答案

∵t2+t-1=0,

∴t2+t=1,

∴t3+2t2+2008=t(t2+t)-t2+2t2+2008,

=t+t2+2008,

=1+2008,

=2009.

故答案为:2009.

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