已知m^2+1/m-1=0,则m^2+2m^2+2004=?不对,不对,应该是:m^2+m-1=0,则吗m^3+2m^2+2004的值为多少?
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![已知m^2+1/m-1=0,则m^2+2m^2+2004=?不对,不对,应该是:m^2+m-1=0,则吗m^3+2m^2+2004的值为多少?](/uploads/image/z/1343285-53-5.jpg?t=%E5%B7%B2%E7%9F%A5m%5E2%2B1%2Fm-1%3D0%2C%E5%88%99m%5E2%2B2m%5E2%2B2004%3D%3F%E4%B8%8D%E5%AF%B9%EF%BC%8C%E4%B8%8D%E5%AF%B9%EF%BC%8C%E5%BA%94%E8%AF%A5%E6%98%AF%EF%BC%9Am%5E2%2Bm-1%3D0%EF%BC%8C%E5%88%99%E5%90%97m%5E3%2B2m%5E2%2B2004%E7%9A%84%E5%80%BC%E4%B8%BA%E5%A4%9A%E5%B0%91%EF%BC%9F)
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已知m^2+1/m-1=0,则m^2+2m^2+2004=?不对,不对,应该是:m^2+m-1=0,则吗m^3+2m^2+2004的值为多少?
已知m^2+1/m-1=0,则m^2+2m^2+2004=?
不对,不对,应该是:
m^2+m-1=0,则吗m^3+2m^2+2004的值为多少?
已知m^2+1/m-1=0,则m^2+2m^2+2004=?不对,不对,应该是:m^2+m-1=0,则吗m^3+2m^2+2004的值为多少?
以知条件可以推出m^2+m=1
m^3+2m^2+2004=m(m^2+m)+m^2+2004
=m+m^2+2004
=2005
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m^2+m-1=0
m^2+m=1
m^3+2m^2+2004
=m(m^2+m+m)+2004
=m(1+m)+2004
=m^2+m+2004
=1+2004
=2005
m^2+m-1=0
m^2=1-m
m^3+2m^2+2004=mXm^2+2-2m+2004=m(1-m)+2-2m+2004=m-m^2-2m+2006=m-1+m-2m+2006=2005
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