解:将(x十n)^2=1展开整理得:x^2+2n+n^2-1= 0 =x^2-Mx十3=0那么则有2n=-m,n^2-1=3解得n=2, m=-4或n=-2,m=4方程x^2一mx一2n=0的解(1)n=2, m=-4方程为x^2+4x-4=0得x^2+4x+4=4+4=8即(x+2)^2=8即x= -2±2√2(2)n=-2,m=4方程为x^2-4x+4=0得x=2