1以知1/a+1/b=1/a+b 求b/a+a/b的值是?答案写-1怎么求?
问题描述:
1以知1/a+1/b=1/a+b 求b/a+a/b的值是?答案写-1怎么求?
答
1/a+1/b=1/(a+b),
(a+b)/(ab)=1/(a+b),
(a+b)^2=ab,
a^2+2ab+b^2=ab,
a^2+b^2=-ab,
a/b+b/a=-1.