SOLUTION: x^2/25-y^2/9=1

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Question 696743: x^2/25-y^2/9=1
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1
you have x%5E2%2F25-y%5E2%2F9=1
The hyperbola is centered on a point (h, k), which is the "center" of the hyperbola. In your case h=0 and k=0; so the center is at (0, 0)
a%5E2=25...=>...a=5....the vertices are a+=+5 units to either side
b%5E2=9...=>...b=3
vertices: (0-a,+0) and (0%2Ba, 0)......=>....(0-5, 0) and =>....(-5, 0) and (5, 0)
The equation c%5E2+=+a%5E2+%2B+b%5E2 tells us that c%5E2+=+25+%2B+9+=34, so c+=+sqrt%2834%29 which is c+=+5.8, ..=>...and the foci being 5.8 units to either side of the center.