已知m^2-3m-1=0 求m^3-m^2-7m+2008的值_数学解答

已知m^2-3m-1=0 求m^3-m^2-7m+2008的值

人气：283 ℃　时间：2019-10-24 13:46:39

解答

m^2-3m-1=0
m²=3m+1
m^3-m^2-7m+2008
=m²(m-1)-7m+2008
=(3m+1)(m-1)-7m+2008
=3m²-9m+2007
=3(3m+1)-9m+2007
=3+2007
=2010