若M的2次方+M-1=0,则M的3次方+2M的平方+2001=

问题描述:

若M的2次方+M-1=0,则M的3次方+2M的平方+2001=
如题
*是什么意思··
1个回答 分类:数学 2014-11-29

问题解答:

我来补答
m²+m-1=0
m²=-m+1
m³=m*m²=m(-m+1)=-m²+m
m³+2m²+2001
=(-m²+m)+2m²+2001
=m²+m+2001
=(m²+m-1)+2002
=0+2002
=2002
或者这样
m²+m-1=0
m²+m=1
所以m³+2m²+2001
=m³+m²+m²+2001
=m(m²+m)+m²+2001
=m*1+m²+2001
=m²+m+2001
=1+2001
=2002
 
 
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