For how many integers n, there are four distinct real numbers satisfying the equation ∣x2−4x−7∣=n?<spanclass=′latex−bold′>(A)</span>12<spanclass=′latex−bold′>(B)</span>10<spanclass=′latex−bold′>(C)</span>8<spanclass=′latex−bold′>(D)</span>7<spanclass=′latex−bold′>(E)</span>5