作业帮已知m²+m-1=0,求m³+2m²+2013的值.
来源：学生作业帮助网 编辑：作业帮 时间：2024/10/02 13:03:08
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已知m²+m-1=0,求m³+2m²+2013的值.
已知m²+m-1=0,求m³+2m²+2013的值.
已知m²+m-1=0,求m³+2m²+2013的值.
m²+m-1=0
m²+m=1
m³+2m²+2013
=m（m²+m）+m²+2013
=m+m²+2013
=1+2013
=2014
因为m²+m-1=0,则m²+m=1,
m³+2m²+2013=m³+m²+m²+2013
=m(m²+m)+m²+2013
=m+m²+2013
=1+2013
=2014
祝你学习进步！
由m²+m-1=0，得
m²+m=1
m³+2m²+2013
=m(m²+m)+m²
把m²+m=1代人上式，得
m³+2m²+2013
=m(m²+m)+m²+2013
=m×1+m²+2013
=m+m²+2013
=1+2013
=2014