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P15 [Algebra] - Turkish NMO 1st Round - 2014

Source:

May 23, 2014

Problem Statement

What is the sum of distinct real numbers xx such that (2x2+5x+9)2=56(x3+1)(2x^2+5x+9)^2=56(x^3+1)?
<spanclass=′latex−bold′>(A)</span> 3<spanclass=′latex−bold′>(B)</span> 74<spanclass=′latex−bold′>(C)</span> 4<spanclass=′latex−bold′>(D)</span> 92<spanclass=′latex−bold′>(E)</span> None of the preceding <span class='latex-bold'>(A)</span>\ 3 \qquad<span class='latex-bold'>(B)</span>\ \dfrac{7}{4} \qquad<span class='latex-bold'>(C)</span>\ 4 \qquad<span class='latex-bold'>(D)</span>\ \dfrac{9}{2} \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
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