已知代数式m²+m-1=0,那么代数值m三次方+2m²+2009=
问题描述:
已知代数式m²+m-1=0,那么代数值m三次方+2m²+2009=
答
2010
答
m三次方+2m²+2009=m³+m²-m+m²+m-1+2010=m(m²+m-1)+(m²+m-1)+2010=2010
答
∵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 ...
答
m²+m-1=0 ----> m²+m=1
m三次方+2m²+2009=m^3+m²+m²+2009=m( m²+m)+m²+2009=m+m²+2009=1+2009=2010