MathDB

16

Part of 2002 National Olympiad First Round

Problems(1)

P16 [Algebra] - Turkish NMO 1st Round - 2002

Source:

8/8/2014
Which of the following cannot be equal to x2+14xx^2 + \dfrac 1{4x} where xx is a positive real number?
<spanclass=′latex−bold′>a)</span> 3−1<spanclass=′latex−bold′>b)</span> 22−2<spanclass=′latex−bold′>c)</span> 5−1<spanclass=′latex−bold′>d)</span> 1<spanclass=′latex−bold′>e)</span> None of above <span class='latex-bold'>a)</span>\ \sqrt 3 -1 \qquad<span class='latex-bold'>b)</span>\ 2\sqrt 2 - 2 \qquad<span class='latex-bold'>c)</span>\ \sqrt 5 - 1 \qquad<span class='latex-bold'>d)</span>\ 1 \qquad<span class='latex-bold'>e)</span>\ \text{None of above}