SOLUTION: Please help me solve this question Find an equation for the hyperbola that satisfies the given conditions Foci (+/-5,0), asymptotes y=+/- 1/2x Thanks

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Question 835387: Please help me solve this question
Find an equation for the hyperbola that satisfies the given conditions
Foci (+/-5,0), asymptotes y=+/- 1/2x
Thanks
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation for the hyperbola that satisfies the given conditions
Foci (+/-5,0), asymptotes y=+/- 1/2x
***
Given hyperbola has a horizontal transverse axis.
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2-%28y-k%29%5E2%2Fb%5E2=1
center: (0,0)
given slope of asymptotes=±1/2=b/a
a=±2b
a^2=4b^2
c=5
c^2=25
c^2=a^2+b^2
25=4b^2+b^2=5b^2
b^2=5
a^2=4b^2=20
Equation: x%5E2%2F20-y%5E2%2F5=1