Final answer:
The rapid variability in brightness of an X-ray source over a few days indicates the presence of a black hole with an accretion disk.
Step-by-step explanation:
The rapid variability in brightness of an X-ray source over a few days indicates that the source contains a black hole with an accretion disk. This is because the generation of energy in such a small region requires a great deal of mass to be confined into a small space, which can only be achieved by a black hole. In some cases, the X-rays are emitted from a region just a few times the size of the black hole event horizon.