Can $$\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4$$ have positive integer solutions.
It's just a problem from some forum. I translate it into this form. Tried some triples but fail. Also I can't prove it doesn't exist integer solutions.
2026-05-15 23:50:21.1778889021
Can $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4$ have positive integer solutions.
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