已知m²+m-1=0,求m³+2m²+2009的值
问题描述：
已知m²+m-1=0,求m³+2m²+2009的值
答
已知m²+m-1=0所以m²=1-m所以m³+2m²+2009=m*m²+2m²=2009=m*(1-m)+2m²+2009=m-m²+2m²+2009=m²+m+2009=1+2009=2010如果不懂,请Hi我,祝学习愉快!