已知t²+t-1=0,则t³+2t²+2008=

已知t²+t-1=0,则t³+2t²+2008=
已知t²+t-1=0,则t³+2t²+2008=

已知t²+t-1=0,则t³+2t²+2008=
t²+t-1=0
t^2=-t+1
t^2+t=1
t³+2t²+2008
=t(-t+1)+2t²+2008
=t^2+t+2008
=2009

t²+t-1=0
t²+t=1

t³+2t²+2008
=t(t²+t+t)+2008
=t(1+t)+2008
=t²+t+2008
=1+2008
=2009

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t³+2t²+2008
=t(t²+t)+t²+2008
=t+t²+2008
=1+2008
=2009