Let ⌊x⌋ be the greatest integer less than or equal to x. Then the number of real solutions to 4x^2 \minus{} 40 \lfloor x \rfloor \plus{} 51 \equal{} 0 is
<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> 4 floor functionalgebrapolynomialproduct of rootssum of roots