填空题 (1 10:16:52)已知t2+t-1=0,则t3+2t2+2008=(                           ).

填空题 (1 10:16:52)已知t2+t-1=0,则t3+2t2+2008=(                           ).
填空题 (1 10:16:52)
已知t2+t-1=0,则t3+2t2+2008=(                           ).

填空题 (1 10:16:52)已知t2+t-1=0,则t3+2t2+2008=(                           ).
由题意知道t²+t-1=0
所以t²+t=1
原式=t（t²+2t）+2008
=t(t²+t+t)+2008
=t(t+1)+2008
=t²+t+2008
=1+2008=2009