Answer:
the equation of the hyperbola centered at the origin is


Step-by-step explanation:
For a right-left facing hyperbola, the Foci (focus points) are defined:

where
is the distance form the center (h, k) to a focus.
So, the standard equation will be

- As the equation of directrix at x = 125/10
As the directrix is the line is

As c = 10, and x = 125/10
So,




As










Therefore, the equation of the hyperbola centered at the origin is


Keywords: hyperbola, directrex, foci, equation of hyperbola
Learn more about equation of hyperbola from brainly.com/question/14295387
#learnwithBrainly