解：xy=500，x+y=96，x、y是方程t²-96t+500=0的两根。(t-48)²=1804t=48+2√451或t=48-2√451x=48+2√451，y=48-2√451或x=48-2√451，y=48+2√451
x1=48+2√451 y1=48+2√451x2=48-2√451y2=48+2√451
