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P20 [Algebra] - Turkish NMO 1st Round - 2003

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May 16, 2014

Problem Statement

How many real numbers xx are there such that x+1−4x−3+x+6−6x−3=1\sqrt{ x + 1 - 4\sqrt{x-3}} + \sqrt{ x + 6 - 6\sqrt{x-3}} = 1?
<spanclass=′latex−bold′>(A)</span> 3<spanclass=′latex−bold′>(B)</span> 4<spanclass=′latex−bold′>(C)</span> 6<spanclass=′latex−bold′>(D)</span> 7<spanclass=′latex−bold′>(E)</span> None of the preceding <span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ 4 \qquad<span class='latex-bold'>(C)</span>\ 6 \qquad<span class='latex-bold'>(D)</span>\ 7 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
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