已知m^2+m-1=0,求m^2+2m^2+2007的值

2025-04-12 22:45:52
推荐回答(2个)
回答1:

m^2+m-1=0
m^2+m=1
m^3+2m^2+2007
=m(m^2+m)+m^2+2007
=m+m^2+2007
=1+2007
=2008

回答2:

m^2+m-1=0
m^2+m=1

m^3+2m^2+2007=m^3+m^2+m^2+2007
=m(m^2+m)+m^2+2007
=m+m^2+2007
=1+2007
=2008