m,n是方程x²-x-1=0的根,由韦达定理得m+n=1mn=-1m^5+n^5-5m-5n=(m³+n³)(m²+n²)-m³n²-m²n³-5m-5n=[(m+n)(m²-mn+n²)][(m+n)²-2mn]-m²n²(m+n)-5...