Question

已知m²＋m－1＝0,求m³＋2m²＋2003＝?

Answer 1

已知m²＋m－1＝0

则m²＋m＝1

m³＋2m²=m(m²+2m)=m(m²+m+m)=m(1+m)=m²+m=1

所以m³＋2m²＋2003＝1+2003=2004

应该是这样吧..希望能帮到你哦

Answer 2

解：由m²＋m－1＝0得：
m²＋m=1
两边同时乘以m得：
m³+m²=m

m³＋2m²＋2003=m³+m²+m²+2003=m+m²+2003=1+2003=2004

Answer 3

m²＋m－1＝0
m²＋m=1
m²=1-m
m³＋2m²＋2003
=m×m²＋2m²＋2003
=m×（1-m）＋2（1-m）＋2003
=m-m²+2-2m+2003
=-m²-m+2005
=-（m²+m）+2005
=-（1）+2005
=2004

Answer 4

答：2004
m3＋2m2＋2003
=m3+m2+m2+m-m-1+2004
=m(m2+m)+m2+m-(m+1)+2004
=(m+1)(m2+m)-(m+1)+2004
=(m+1)(m2+m-1)+2004
=2004

Answer 5

∵m^2+m-1=0
∴m^2=1-m
∴m^3+2m^2+2003
=m(1-m)+2m^2+2003
=m^2+m+2003
=1-m+m+2003
=2004