MathDB
1978 AHSME Problem 14

Source:

July 25, 2011
AMC

Problem Statement

If an integer n>8n > 8 is a solution of the equation x2−ax+b=0x^2 - ax+b=0 and the representation of aa in the base-nn number system is 1818, then the base-nn representation of bb is
<spanclass=′latex−bold′>(A)</span> 18<spanclass=′latex−bold′>(B)</span> 20<spanclass=′latex−bold′>(C)</span> 80<spanclass=′latex−bold′>(D)</span> 81<spanclass=′latex−bold′>(E)</span> 280<span class='latex-bold'>(A)</span>\ 18 \qquad <span class='latex-bold'>(B)</span>\ 20 \qquad <span class='latex-bold'>(C)</span>\ 80 \qquad <span class='latex-bold'>(D)</span>\ 81 \qquad <span class='latex-bold'>(E)</span>\ 280
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