Proofs of Existence and Optimality · Difficult Problems in Number Theory (Optional)
Lesson 8
Problem. Find positive integers \(a,b,c\) such that \[\frac{a}{b+c}+\frac{b}{c+a}+\frac{c}{a+b}=4 \ .\] You may encounter this problem on the internet in the following humorous form:
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1 point