m,n是方程x²-2x-1=0的两根∴m²+2m-1=0n²-2n-1=0∴(7m²-14m+a)(3n²-6n-7)=[7(m²-2m-1)+7+a][3(n²-2n-1)-4]=[7+a][-4]∴(7+a)×(-4)=87+a=-2a=-9
x²-2x-1=0x^2-2x=1 (7m²-14m+a)(3n²-6n-7)=8(7(m^2-2m)+a)(3(n^2-2n)-7)=8(7*1+a)(3*1-7)=8(7+a)*(-4)=8a=-9