Goethite is hydrated iron oxide[?], FeO(OH). Its hardness ranges from 5.0 to 5.5, and its specific gravity varies from 3.3 to 4.3. It is not generally considered very interesting as a mineral specimen; its main use is as an ironore.
... of which are real. (Geometrically, this means that the parabola intersects the x-axis in two points.)
If the discriminant is negative, then there are two different ...