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a^2b + ab^2 = 2009201020092010

Source: 0

April 28, 2009
modular arithmetic

Problem Statement

How many ordered integer pairs of (a,b) (a,b) satisfying a^2b \plus{} ab^2 \equal{} 2009201020092010 ?
<spanclass=′latex−bold′>(A)</span>4<spanclass=′latex−bold′>(B)</span> 2<spanclass=′latex−bold′>(C)</span> 1<spanclass=′latex−bold′>(D)</span> 0<spanclass=′latex−bold′>(E)</span> None<span class='latex-bold'>(A)</span> 4 \qquad<span class='latex-bold'>(B)</span>\ 2 \qquad<span class='latex-bold'>(C)</span>\ 1 \qquad<span class='latex-bold'>(D)</span>\ 0 \qquad<span class='latex-bold'>(E)</span>\ \text{None}
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