已知abc为正数,且a+b+c=9,1/a+b+1/b+c+1/a+c=10/9,求,a/b+c+b/a+c+/a+b的值在线等

Question

已知abc为正数,且a+b+c=9,1/a+b+1/b+c+1/a+c=10/9,求,a/b+c+b/a+c+/a+b的值在线等

Answer 1

(a+b+c)*(1/(a+b)+1/(b+c)+1/(a+c))=9*(10/9)
3+c/(a+b)+b(a+c)+c(a+b)=10
故c/(a+b)+b(a+c)+c(a+b)=7