若m2+m=1,则m3-2m+5的值为( )
问题描述:
若m2+m=1,则m3-2m+5的值为( )
求救!急
答
已知M^2+M=1,则M^2=1-M.M^3-2M+5 =M(M^2-2)+5 =M(1-M-2)+5 =M-M^2-2M+5 =-M-M^2+5 =-(M+M^2-5) 把M^2+M=1代入:-(M+M^2-5),则-(M+M^2-5)= -(1-5)=4