- #1
lfdahl
Gold Member
MHB
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Determine all possible values of
\[S = \frac{a}{a+b+d}+\frac{b}{a+b+c}+\frac{c}{b+c+d}+\frac{d}{a+c+d}\]
when $a,b,c$ and $d$ are arbitrary positive real numbers.
\[S = \frac{a}{a+b+d}+\frac{b}{a+b+c}+\frac{c}{b+c+d}+\frac{d}{a+c+d}\]
when $a,b,c$ and $d$ are arbitrary positive real numbers.