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.

Algebra ->  Quadratic-relations-and-conic-sections -> 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.       Log On


   

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) About Me  (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.
***
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: x%5E2%2F49-y%5E2%2F15=1