MathDB
P04 [Algebra] - Turkish NMO 1st Round - 2003

Source:

May 6, 2014
algebrapolynomial

Problem Statement

How many pairs of positive integers (a,b)(a,b) are there such that the roots of polynomial x2axbx^2-ax-b are not greater than 55?
<spanclass=latexbold>(A)</span> 40<spanclass=latexbold>(B)</span> 50<spanclass=latexbold>(C)</span> 65<spanclass=latexbold>(D)</span> 75<spanclass=latexbold>(E)</span> None of the preceding <span class='latex-bold'>(A)</span>\ 40 \qquad<span class='latex-bold'>(B)</span>\ 50 \qquad<span class='latex-bold'>(C)</span>\ 65 \qquad<span class='latex-bold'>(D)</span>\ 75 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}