问题标题:
已知x=7+4根号3,y=7-4根号3,求x/y+y/x的值
更新时间:2024-04-27 02:55:15
问题描述:

已知x=7+4根号3,y=7-4根号3,求x/y+y/x的值

宫华泽回答:
  已知x=7+4根号3,y=7-4根号3,   x/y+y/x   =(x²+y²)/(xy)   =[(x+y)²-2xy]/(xy)   =[14²-2×(7+4√3)×(7-4√3)]/(7+4√3)(7-4√3)   =(196-2)/2   =97;
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