x2+x-1=0则x3+2x2+2006=? 2若a,b,c,d都不等于零,c,d是x2+ax+b的根,a,b是x2+cx+d的根,那么a+b+c+d=
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x2+x-1=0则x3+2x2+2006=? 2若a,b,c,d都不等于零,c,d是x2+ax+b的根,a,b是x2+cx+d的根,那么a+b+c+d=
x2+x-1=0
则x3+2x2+2006=?
2若a,b,c,d都不等于零,c,d是x2+ax+b的根,a,b是x2+cx+d的根,那么a+b+c+d=
x2+x-1=0则x3+2x2+2006=? 2若a,b,c,d都不等于零,c,d是x2+ax+b的根,a,b是x2+cx+d的根,那么a+b+c+d=
X²=1-X
X³+2X²+2006=(1-X)X+2(1-X)+2006
=X-X²+2-2X+2006
=X-(1-X)+2-2X+2006
=X-1+X+2-2X+2006
=-1+2+2006
=2007
X2到底是2倍X,还是X的平方???好歹也要说明下啊
x2+x-1=0
x3+2x2+2006=x(x2+x-1)+(x2+x-1)+2007=2007
c,d是x2+ax+b的根,a,b是x2+cx+d的根
c+d=-a==>a+c+d=0
a+b=-c==>a+b+c=0
===>b=d
于是c,b是x2+ax+b的根,a,b是x2+cx+b的根
c*b=b,a*b=b
a=c=1
a+b+c+d=-a-c=-2
X²=1-X
X³+2X²+2006=(1-X)X+2(1-X)+2006
=X-X²+2-2X+2006
=X-(1-X)+2-2X+2006
=X-1+X+2-2X+2006
=-1+2+2006
=2007
自己好好再想想吧~~
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