已知:(1/a)+1/b=1/a+b,求b/a+(a/b)的值
已知:(1/a)+1/b=1/a+b,求b/a+(a/b)的值
参考答案:已知:(1/a)+1/b=1/a+b,求b/a+(a/b)的值
1/a+1/b=1/(a+b)
(a+b)/ab=1/(a+b)
(a+b)^2=ab
a^2+b^2+2ab=ab
a^2+b^2=-ab
a^2/ab+b^2/ab=-1
a/b+b/a=-1
已知:(1/a)+1/b=1/a+b,求b/a+(a/b)的值
参考答案:已知:(1/a)+1/b=1/a+b,求b/a+(a/b)的值
1/a+1/b=1/(a+b)
(a+b)/ab=1/(a+b)
(a+b)^2=ab
a^2+b^2+2ab=ab
a^2+b^2=-ab
a^2/ab+b^2/ab=-1
a/b+b/a=-1