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

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

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestIs this a RMO problem? Which year? – Shashank Rammoorthy · 1 year, 6 months ago

Log in to reply

– Abhi Kumbale · 1 year, 5 months ago

INMO 1984Log in to reply