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What do I need to do to solve this hyperbola equation?
I need to find the equation that matches the information but I'm lost. The information I have is that the center is at (0,0), c=6 and e=3, as well as there being a horizontal focus axis.
1 Answer
- Marley KLv 78 years agoFavorite Answer
you need "a" and "b" in order to have the equation:
(x^2)/(a^2) - (y^2)/(b^2) = 1
you can get a from the fact that to find e the formula is:
e = c/a, so
3 = 6/a, which means a=2.
now you can find b, knowing that c^2 = a^2 - b^2, so
6^2 = 2^2 + b^2
36 = 4 + b^2
b^2 = 32
b = √32
equation:
(x^2)/4 - (y^2)/32 = 1
that's it! ;)
