MathDB
1994 AMC 12 #25

Source:

December 30, 2011
AMC

Problem Statement

If xx and yy are non-zero real numbers such that ∣x∣+y=3and∣x∣y+x3=0, |x|+y=3 \qquad \text{and} \qquad |x|y+x^3=0, then the integer nearest to x−yx-y is
<spanclass=′latex−bold′>(A)</span> −3<spanclass=′latex−bold′>(B)</span> −1<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> 5 <span class='latex-bold'>(A)</span>\ -3 \qquad<span class='latex-bold'>(B)</span>\ -1 \qquad<span class='latex-bold'>(C)</span>\ 2 \qquad<span class='latex-bold'>(D)</span>\ 3 \qquad<span class='latex-bold'>(E)</span>\ 5
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