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

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) (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 , or
==> , or , and
Hence the standard equation of the hyperbola is
.
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