SOLUTION: Equation of hyperbola with center at (0,0); focus at (5,0); and vertex at (2,0)

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Question 867310: Equation of hyperbola with center at (0,0); focus at (5,0); and vertex at (2,0)
Answer by lwsshak3(11628) About Me  (Show Source):
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Equation of hyperbola with center at (0,0); focus at (5,0); and vertex at (2,0)
Hyperbola has a horizontal transverse axis.
Its standard form of equation with center at the origin: x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1
For given hyperbola:
a=2(distance from center to vertex)
a^2=4
c=5(distance from center to focus)
c^2=25
c^2=b^2+a^2
b^2=c^2-a^2=25-4=21
equation:
x%5E2%2F4-y%5E2%2F21=1