SOLUTION: find an equation of the conic described by a point moving so that the difference of its distances from (-8,0)and(8,0) is 14.

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Question 837678: find an equation of the conic described by a point moving so that the difference of its distances from (-8,0)and(8,0) is 14.

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
find an equation of the conic described by a point moving so that the difference of its distances from (-8,0)and(8,0) is 14.
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conic described is a hyperbola with horizontal transverse axis with center at the origin.
2a=14
a=7
a^2=49
c=8
c^2=64
c^2=a^2+b^2
b^2=c^2-a^2=64-49=15
equation:

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