Question 860407
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Hi,
x^2/25 - y^2/24 = 1  C(0,0), Opening right and left along y = 0
Vertices (-5,0) and (5,0), foci (-7,0) and (7,0)
Note:  |sqrt(25 + 24)| = 7
Standard Form of an Equation of an Hyperbola opening right and  left is:
  {{{(x-h)^2/a^2 - (y-k)^2/b^2 = 1}}} with C(h,k) and vertices 'a' units right and left of center,   2a the length of the transverse axis
Foci are {{{sqrt(a^2+b^2)}}} units right and left of center along y = k