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

Source: 0

April 28, 2009

Problem Statement

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=latexbold>(A)</span> 3<spanclass=latexbold>(B)</span> 8<spanclass=latexbold>(C)</span> 14<spanclass=latexbold>(D)</span> 15<spanclass=latexbold>(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