MathDB
Turkey NMO 2010 1st Round - P26 (Number Theory)

Source:

July 27, 2012

Problem Statement

For which value of mm, there is no triple of integer (x,y,z)(x,y,z) such that 3x2+4y2−5z2=m3x^2+4y^2-5z^2=m?
<spanclass=′latex−bold′>(A)</span> 16<spanclass=′latex−bold′>(B)</span> 14<spanclass=′latex−bold′>(C)</span> 12<spanclass=′latex−bold′>(D)</span> 10<spanclass=′latex−bold′>(E)</span> 8 <span class='latex-bold'>(A)</span>\ 16 \qquad<span class='latex-bold'>(B)</span>\ 14 \qquad<span class='latex-bold'>(C)</span>\ 12 \qquad<span class='latex-bold'>(D)</span>\ 10 \qquad<span class='latex-bold'>(E)</span>\ 8
Back to ProblemsView on AoPS