MathDB
Diophantine Equation

Source:

January 11, 2009
geometry3D geometry

Problem Statement

The number of ordered pairs of integers (m,n) (m,n) for which mn≥0 mn \ge 0 and m^3 \plus{} n^3 \plus{} 99mn \equal{} 33^3 is equal to
<spanclass=′latex−bold′>(A)</span> 2<spanclass=′latex−bold′>(B)</span> 3<spanclass=′latex−bold′>(C)</span> 33<spanclass=′latex−bold′>(D)</span> 35<spanclass=′latex−bold′>(E)</span> 99 <span class='latex-bold'>(A)</span>\ 2\qquad <span class='latex-bold'>(B)</span>\ 3\qquad <span class='latex-bold'>(C)</span>\ 33\qquad <span class='latex-bold'>(D)</span>\ 35\qquad <span class='latex-bold'>(E)</span>\ 99
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