SOLUTION: I need help with this question. Find the standard form of the equation of the hyperbola with the given characteristics foci (+-2,0) asymptotes y=+-5x

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Question 444730: I need help with this question.
Find the standard form of the equation of the hyperbola with the given characteristics
foci (+-2,0) asymptotes y=+-5x
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The center of the hyperbola is the origin (0,0), and from the given pair of lines, b/a = 5, or b = 5a.
Now c = 2, and b%5E2+=+c%5E2+-+a%5E2, or 25a%5E2+=+4+-+a%5E2
==> 26a%5E2+=+4, or a%5E2+=+2%2F13, and b%5E2+=+25%2A%282%2F13%29+=+50%2F13
Hence the standard equation of the hyperbola is
x%5E2%2F%282%2F13%29+%2B+y%5E2%2F%2850%2F13%29+=+1.