MathDB

6

Part of 2009 India National Olympiad

Problems(1)

a^3 + b^3 = c^3

Source: INMO 2009 Problem 6

1/18/2009
Let a,b,c a,b,c be positive real numbers such that a^3 \plus{} b^3 \equal{} c^3.Prove that: a^2 \plus{} b^2 \minus{} c^2 > 6(c \minus{} a)(c \minus{} b).
quadraticsalgebrapolynomialInequality