设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:2024/06/25 15:25:54
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设m²+m-1=0,求m³+2m²+2013的值?
设m²+m-1=0,求m³+2m²+2013的值?
设m²+m-1=0,求m³+2m²+2013的值?
∵m²+m-1=0
∴m²+m=1
m(m²+2m)+2013
=m(m²+m+m)+2013
=m(m+1)+2013
=m²+m+2013
=1+2013
=2014
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来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 15:25:54
设m²+m-1=0,求m³+2m²+2013的值?
设m²+m-1=0,求m³+2m²+2013的值?
设m²+m-1=0,求m³+2m²+2013的值?
∵m²+m-1=0
∴m²+m=1
m(m²+2m)+2013
=m(m²+m+m)+2013
=m(m+1)+2013
=m²+m+2013
=1+2013
=2014