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P16 [Algebra] - Turkish NMO 1st Round - 2003

Source:

May 15, 2014
calculusderivativefunctionblogs

Problem Statement

For which of the following values of real number tt, the equation x4−tx+1t=0x^4-tx+\dfrac 1t = 0 has no root on the interval [1,2][1,2]?
<spanclass=′latex−bold′>(A)</span> 6<spanclass=′latex−bold′>(B)</span> 7<spanclass=′latex−bold′>(C)</span> 8<spanclass=′latex−bold′>(D)</span> 9<spanclass=′latex−bold′>(E)</span> None of the preceding <span class='latex-bold'>(A)</span>\ 6 \qquad<span class='latex-bold'>(B)</span>\ 7 \qquad<span class='latex-bold'>(C)</span>\ 8 \qquad<span class='latex-bold'>(D)</span>\ 9 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
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