已知,m²+m-1=0,则m³+2m²-2007的值是

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/05/11 02:11:52

由题意得
m²+m=1
m³+2m²-2007
=m【m²+m+m】-2007
=m【m+1】-2007
=m²+m-2007
=1-2007
=-2006
再问： m【m²+m+m】-2007怎么变成了m【m+1】-2007，能解释详细点吗
再答：已经求出m²+m=1，把m²+m=1代入m²+m+m就等于m+1了

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