For positive reals \(x,y,z\) satisfying \(x+y+z=1\), prove that

\[ xy + yz + xz - 2xyz \leq \dfrac7{27}. \]

For positive reals \(x,y,z\) satisfying \(x+y+z=1\), prove that

\[ xy + yz + xz - 2xyz \leq \dfrac7{27}. \]

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TopNewestIs this a RMO problem? Which year? – Shashank Rammoorthy · 1 year, 9 months ago

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– Abhi Kumbale · 1 year, 9 months ago

INMO 1984Log in to reply