若丨a-3+1/a丨+b²+2b+1=0,则a²+1/a²-丨b丨=________.已知m²+m-1=0,则m³+2m²+2014=_______.

若丨a-3+1/a丨+b²+2b+1=0,则a²+1/a²-丨b丨=________.已知m²+m-1=0,则m³+2m²+2014=_______.
若丨a-3+1/a丨+b²+2b+1=0,则a²+1/a²-丨b丨=________.
已知m²+m-1=0,则m³+2m²+2014=_______.

若丨a-3+1/a丨+b²+2b+1=0,则a²+1/a²-丨b丨=________.已知m²+m-1=0,则m³+2m²+2014=_______.
丨a-3+1/a丨+b²+2b+1=0
丨a-3+1/a丨+（b+1）²=0
所以：
a-3+1/a=0
b+1=0
a+1/a=3
b=-1
a+1/a=3
两边平方得：
a²+1/a²+2=9
a²+1/a²=7
a²+1/a²-丨b丨
=7-1
=6
若丨a-3+1/a丨+b²+2b+1=0,则a²+1/a²-丨b丨=_____6___.
已知m²+m-1=0,则m³+2m²+2014=___2015____.
m²+m-1=0
m²+m=1
同时：
m²+m-1=0
两边同乘以m得：
m³+m²-m=0
m³+m²=m
m³+2m²+2014
=m³+m²+m²+2014
=(m³+m²)+m²+2014
=m+m²+2014
=1+2014
=2015