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Turkey NMO 2007 1st Round - P27 (Algebra)

Source:

October 5, 2012
quadratics

Problem Statement

What is the sum of real roots of the equation (x+1)(x+14)(x+12)(x+34)=4532? \left ( x + 1\right )\left ( x + \dfrac 14\right )\left ( x + \dfrac 12\right )\left ( x + \dfrac 34\right )= \dfrac {45}{32}?
<spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> −1<spanclass=′latex−bold′>(C)</span> −32<spanclass=′latex−bold′>(D)</span> −54<spanclass=′latex−bold′>(E)</span> −712 <span class='latex-bold'>(A)</span>\ 0 \qquad<span class='latex-bold'>(B)</span>\ -1 \qquad<span class='latex-bold'>(C)</span>\ -\dfrac {3}{2} \qquad<span class='latex-bold'>(D)</span>\ -\dfrac {5}{4} \qquad<span class='latex-bold'>(E)</span>\ -\dfrac {7}{12}
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