Question

Find all natural number triplets (a,b,c) that satisfy the equation
$\frac{3}{7}=\frac{1}{a} + \frac{1}{ab} + \frac{1}{abc}$

constraints are $a\leq b\leq c$

Answer 1

Answer:

Let P be an interior point of triangle ABC and AP, BP, CP meet the sides BC, CA, AB in D, E, F respectively. Show that \frac{AP}{PD} = \frac{ AF}{ ...

Answer 2

Answer:

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