Expression $$\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}$$ takes an integer value $2$ when $a=t, b=t, c=3t$. Are there any other integer values of variables for integer value of expression?
$\endgroup$ 71 Answer
$\begingroup$For example, take $$(t,t,-2t)$$ for $t\neq0$.
$a+b+c=0$ is valid
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