MathDB

11

Part of 2014 National Olympiad First Round

Problems(1)

P11 [Algebra] - Turkish NMO 1st Round - 2014

Source:

5/22/2014
What is the product of real numbers aa which make x2+ax+1x^2+ax+1 a negative integer for only one real number xx?
<spanclass=′latex−bold′>(A)</span> −1<spanclass=′latex−bold′>(B)</span> −2<spanclass=′latex−bold′>(C)</span> −4<spanclass=′latex−bold′>(D)</span> −6<spanclass=′latex−bold′>(E)</span> −8 <span class='latex-bold'>(A)</span>\ -1 \qquad<span class='latex-bold'>(B)</span>\ -2 \qquad<span class='latex-bold'>(C)</span>\ -4 \qquad<span class='latex-bold'>(D)</span>\ -6 \qquad<span class='latex-bold'>(E)</span>\ -8
quadratics