Vietnam TST 2009, Problem 4
Source:
April 19, 2009
inequalitiescalculusquadraticsfunctionlogarithmsinequalities proposed
Problem Statement
Let be positive numbers.Find such that:
(k \plus{} \frac {a}{b \plus{} c})(k \plus{} \frac {b}{c \plus{} a})(k \plus{} \frac {c}{a \plus{} b}) \ge (k \plus{} \frac {1}{2})^3