MathDB
1987 AMC 12 #23 - Inequality

Source:

January 1, 2012
inequalitiesquadraticsAMC

Problem Statement

If pp is a prime and both roots of x2+px444p=0x^2+px-444p=0 are integers, then
<spanclass=latexbold>(A)</span> 1<p11<spanclass=latexbold>(B)</span> 11<p21<spanclass=latexbold>(C)</span> 21<p31<spanclass=latexbold>(D)</span> 31<p41<spanclass=latexbold>(E)</span> 41<p51 <span class='latex-bold'>(A)</span>\ 1<p\le 11 \qquad<span class='latex-bold'>(B)</span>\ 11<p \le 21 \qquad<span class='latex-bold'>(C)</span>\ 21< p \le 31 \\ \qquad<span class='latex-bold'>(D)</span>\ 31< p \le 41 \qquad<span class='latex-bold'>(E)</span>\ 41< p \le 51