MathDB
2013 VTRMC #5

Source: 35th Annual Virginia Tech Regional Mathematics Contest 2013

September 1, 2018
inequalities

Problem Statement

Prove that x1+x2+y1+y2+z1+z2≤332\frac{x}{\sqrt{1+x^2}}+\frac{y}{\sqrt{1+y^2}}+\frac{z}{\sqrt{1+z^2}} \leq\frac{3\sqrt{3}}{2} for any positive real numbers x,y,zx, y,z such that x+y+z=xyz.x+y+z = xyz. [url=https://artofproblemsolving.com/community/c7h236610p10925499]2008 VTRMC #1 [url=http://www.math.vt.edu/people/plinnell/Vtregional/solutions.pdf]here
Back to ProblemsView on AoPS