In Greek mythology, Lampetia ("shining") was the daughter of Helios and Neaera; she was the personification of light. With her sister, Phaethusa, she guarded the cattle of Thrinacia[?]. She told her father when Odysseus' men tried to steal his cattle.
... and this solution is real. (Geometrically, this means that the parabola described by the quadratic equation touches the x-axis in a single point.)
If the discriminant is ...