已知代数式m²+m-1=0,那么代数值m三次方+2m²+2009=

题目

已知代数式m²+m-1=0,那么代数值m三次方+2m²+2009=

答案

∵m²+m-1=0,所以（m²+m-1）m=0∴（m²+m-1）m=m³+m²-m=0m³+2m²+2009=m³+m²-m+m²+m-1+2010=（m²+m-1）m+（m²+m-1）+2010=2010 ...