∵ax2=x(7-by),by2=y(7-ax)相加:49=ax2+by2=7x-bxy+7y-axy=7(x+y)-xy(a+b)①又:ax3=49x-bxy2,by3=49y-ax2y相加得133=ax3+by3=49(x+y)-xy(ax+by)即49(x+y)-7xy=133,7(x+y)-xy=19②同理ax4=133x-bxy3,by4=133y-ax3y406=ax4+by4=133(x+y)-xy(ax2+by2)即133(x+y)-49xy=406③由①、②、③联立,设x+y=u,xy=v可得:x+y=2.5,xy=-1.5,a+b=21带入得4996,是约等的