SOLUTION: Find the equation of the hyperbola which satisfies the given condition center (0,0) transverse axis along x-axis, a focus at (8,0) a vertex at (4,0)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation of the hyperbola which satisfies the given condition center (0,0) transverse axis along x-axis, a focus at (8,0) a vertex at (4,0)      Log On


   



Question 894111: Find the equation of the hyperbola which satisfies the given condition center (0,0) transverse axis along x-axis, a focus at (8,0) a vertex at (4,0)
Answer by lwsshak3(11628) About Me  (Show Source):
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Find the equation of the hyperbola which satisfies the given condition center (0,0) transverse axis along x-axis, a focus at (8,0) a vertex at (4,0)
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Given hyperbola has a horizontal transverse axis with center at the origin.
Its standard form of equation: x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1
c=8
c^2=64
a=4
a^2=16
c^2=a^2+b^2
b^2=c^2-a^2=64-16=48
equation: x%5E2%2F16-y%5E2%2F48=1