Question 890805
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^2/a^2-y^2/b^2=1)}}}
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^2/(9/4)-y^2/(91/4)=1}}}