SOLUTION: Find an equation for the hyperbola and Satisfies the given conditions. Foci(+-5,0), vertices (+-3,0) Please help. Super confused.

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Question 870110: Find an equation for the hyperbola and Satisfies the given conditions.
Foci(+-5,0), vertices (+-3,0)
Please help. Super confused.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The foci tell you c=5.
The vertices and the foci tell you a=3, and the center is (0,0).

a, b, and c are related as a%5E2%2Bb%5E2=c%5E2, so b%5E2=c%5E2-a%5E2=5%5E2-3%5E2=16.

x%5E2%2F3%5E2-y%5E2%2F4%5E2=1, or highlight%28x%5E2%2F9-y%5E2%2F16=1%29.