MathDB
P24 [Algebra] - Turkish NMO 1st Round - 2001

Source:

April 20, 2014
floor function

Problem Statement

How many real roots of the equation x2−18[x]+77=0x^2 - 18[x]+77=0 are not integer, where [x][x] denotes the greatest integer not exceeding the real number xx?
<spanclass=′latex−bold′>(A)</span> 0<spanclass=′latex−bold′>(B)</span> 1<spanclass=′latex−bold′>(C)</span> 2<spanclass=′latex−bold′>(D)</span> 3<spanclass=′latex−bold′>(E)</span> None of the preceding <span class='latex-bold'>(A)</span>\ 0 \qquad<span class='latex-bold'>(B)</span>\ 1 \qquad<span class='latex-bold'>(C)</span>\ 2 \qquad<span class='latex-bold'>(D)</span>\ 3 \qquad<span class='latex-bold'>(E)</span>\ \text{None of the preceding}
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