Question 746113
Find an equation for the hyperbola whose graph has vertices (+/-5,0) and foci (+/-7,0)
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Given hyperbola has a horizontal transverse axis.
Its standard form of equation: {{{(x-h)^2/a^2-(y-k)^2/b^2=1}}}, (h,k)=(x,y) coordinates of the center.
center: (0,0)
a=5 (distance from center to vertices)
a^2=25
c=7 (distance from center to foci)
c^2=49
c^2=a^2+b^2
b^2=c^2-a^2=49-25=24
Equation of given hyperbola: {{{x^2/25-y^2/24=1}}}