MathDB
2017 Guts #32: Finally, a three-variable inequality!

Source:

February 21, 2017
inequalities

Problem Statement

Let aa, bb, cc be non-negative real numbers such that ab+bc+ca=3ab + bc + ca = 3. Suppose that a3b+b3c+c3a+2abc(a+b+c)=92.a^3 b + b^3 c + c^3 a + 2abc(a + b + c) = \frac{9}{2}. What is the maximum possible value of ab3+bc3+ca3ab^3 + bc^3 + ca^3?
Back to ProblemsView on AoPS