It is known that the focus of hyperbola is F1 (- 6.0), F2 (6.0), and it passes through the point P (- 5.0), so the hyperbolic standard equation is solved

It is known that the focus of hyperbola is F1 (- 6.0), F2 (6.0), and it passes through the point P (- 5.0), so the hyperbolic standard equation is solved

According to the definition of hyperbola
c=6 a=5
c^2=a^2+b^2 b^2=11
The focus is on the x-axis, so the hyperbolic standard equation
x^2/25-y^2/11=0