SOLUTION: Find the equation in standard form for the hyperbola that satisfies the condition: foci (+ or - 5,0), transverse axis length 3.

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Question 890805: Find the equation in standard form for the hyperbola that satisfies the condition:
foci (+ or - 5,0), transverse axis length 3.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation in standard form for the hyperbola that satisfies the condition:
foci (+ or - 5,0), transverse axis length 3.
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Given hyperbola has a horizontal transverse axis and center at the origin
Its standard form of equation: x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1%29
given length of horizontal transverse axis=3=2a
a=3/2
a^2=9/4
c=5
c^2=25
c^2=a^2+b^2
b^2=c^2-a^2=25-9/4
=100/4-9/4
=91/4
equation: x%5E2%2F%289%2F4%29-y%5E2%2F%2891%2F4%29=1