H
hank_chou


cho a,b,c,d >0. cm:
[TEX]\frac{1}{\frac{1}{a} + \frac{1}{b} } + \frac{1}{\frac{1}{c} + \frac{1}{d} } \le\ \frac{1}{\frac{1}{a+c} + \frac{1}{b+d} }[/TEX]
[TEX]\frac{1}{\frac{1}{a} + \frac{1}{b} } + \frac{1}{\frac{1}{c} + \frac{1}{d} } \le\ \frac{1}{\frac{1}{a+c} + \frac{1}{b+d} }[/TEX]