MathDB

3

Part of 2014 National Olympiad First Round

Problems(1)

P03 [Algebra] - Turkish NMO 1st Round - 2014

Source:

5/21/2014
For how many integers nn, there are four distinct real numbers satisfying the equation ∣x2−4x−7∣=n |x^2-4x-7|=n?
<spanclass=′latex−bold′>(A)</span> 12<spanclass=′latex−bold′>(B)</span> 10<spanclass=′latex−bold′>(C)</span> 8<spanclass=′latex−bold′>(D)</span> 7<spanclass=′latex−bold′>(E)</span> 5 <span class='latex-bold'>(A)</span>\ 12 \qquad<span class='latex-bold'>(B)</span>\ 10 \qquad<span class='latex-bold'>(C)</span>\ 8 \qquad<span class='latex-bold'>(D)</span>\ 7 \qquad<span class='latex-bold'>(E)</span>\ 5