MathDB
P06 [Number Theory] - Turkish NMO 1st Round - 2004

Source:

November 15, 2013
quadratics

Problem Statement

For which of the following value of nn, there exists integers a,ba,b such that a2+ab−6b2=na^2 + ab-6b^2 = n?
<spanclass=′latex−bold′>(A)</span> 17<spanclass=′latex−bold′>(B)</span> 19<spanclass=′latex−bold′>(C)</span> 29<spanclass=′latex−bold′>(D)</span> 31<spanclass=′latex−bold′>(E)</span> 37 <span class='latex-bold'>(A)</span>\ 17 \qquad<span class='latex-bold'>(B)</span>\ 19 \qquad<span class='latex-bold'>(C)</span>\ 29 \qquad<span class='latex-bold'>(D)</span>\ 31 \qquad<span class='latex-bold'>(E)</span>\ 37
Back to ProblemsView on AoPS