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已知x2+x-1=0,则x3+2x2+2004=______.
人气:256 ℃ 时间:2020-07-05 18:10:43
解答
∵x2+x-1=0,
∴x2=-x+1,
∴原式=x•x2+2x2+2004
=x(-x+1)+2(-x+1)+2004
=-x2+x-2x+2+2004
=-(-x+1)-x+2006
=2005.
故答案为2005.
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