Question

设a大于0,b大于0且满足√a(√a+√b)=3√b(√a+5√b),则(a-b+√ab)/(2a+3b+√ab)的值

Answer 1

解√a（√a+√b)=3√b(√a+5√b),a+√ab=3√ab+15b a-2√ab-15b=0 (√a+3√b)(√a-5√b)=0 因a>0,b>0,所以(√a-5√b)=0 a=25b (2a+3b+√ab)/(a-b+√ab)=(50b+3b+5b)/(25b-b+5b)=2