MathDB
Turkey NMO 2006 1st Round - P27 (Algebra)

Source:

February 3, 2013

Problem Statement

If x,y,zx,y,z are positive real numbers such that xy+yz+zx=5xy+yz+zx=5, x2+y2+z2−xyzx^2+y^2+z^2-xyz cannot be ‾\underline{\hspace{1cm}}.
<spanclass=′latex−bold′>(A)</span> 3<spanclass=′latex−bold′>(B)</span> 4<spanclass=′latex−bold′>(C)</span> 5<spanclass=′latex−bold′>(D)</span> 33<spanclass=′latex−bold′>(E)</span> None of above <span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 4 \qquad<span class='latex-bold'>(C)</span>\ 5 \qquad<span class='latex-bold'>(D)</span>\ 3\sqrt 3 \qquad<span class='latex-bold'>(E)</span>\ \text{None of above}
Back to ProblemsView on AoPS