SOLUTION: find the equation of the hyperbola with the given characteristics vertices: (+/- 5,0) ,foci: (+/- 8,0)

Question 660422: find the equation of the hyperbola with the given characteristics vertices: (+/- 5,0) ,foci: (+/- 8,0)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find the equation of the hyperbola with the given characteristics vertices: (+/- 5,0) ,foci: (+/- 8,0)
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This is an equation of a hyperbola with horizontal transverse axis.
Its standard form: , (h,k)=(x,y) coordinates of the center
..
center:(0,0)
length of horizontal transverse axis=10 (-5 to 5)=2a
a=5
a^2=25
..
c=8 (distance from center to foci)
c^2=64
..
c^2=a^2+b^2
b^2=c^2-a^2=64-25=39
..
equation:

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