MathDB

34

Part of 2009 National Olympiad First Round

Problems(1)

min of (x + y^2)(x^2 - y)/(xy)

Source: 0

4/28/2009
x x and y y are two distinct positive integers. What is the minimum positive integer value of (x \plus{} y^2)(x^2 \minus{} y)/(xy) ?
<spanclass=′latex−bold′>(A)</span> 3<spanclass=′latex−bold′>(B)</span> 8<spanclass=′latex−bold′>(C)</span> 14<spanclass=′latex−bold′>(D)</span> 15<spanclass=′latex−bold′>(E)</span> 17<span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 8 \qquad<span class='latex-bold'>(C)</span>\ 14 \qquad<span class='latex-bold'>(D)</span>\ 15 \qquad<span class='latex-bold'>(E)</span>\ 17