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Number Theory Level 4

Find the number of ordered triplets a , b , c a,b,c where a , b a,b and c c are positive reals for which the expression a 3 + b 3 + c 3 − 3 a b c a^{3} +b^{3} +c^{3} -3abc attains the least positive value.


The answer is 3.

Yash Singhal by Yash Singhal , 22, India

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1 solution

Utkarsh Gupta
Aug 6, 2014

Indian MO 2002 http://olympiads.hbcse.tifr.res.in/uploads/inmo-2002

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