Posted by lllll on Saturday, December 4, 2010 at 5:20pm.
Find the standard form of the equation of the hyperbola with the given characteristics.
foci: (±4, 0) asymptotes: y= +/ 3x

Precalc  Reiny, Saturday, December 4, 2010 at 5:32pm
we know c=4 and b/a = 3/1 so b = 3a
also in a standard hyperbola
a^2 + b^2 = c^2
a^2 + (9a^2) = 16
a^2 = 16/10 = 8/5
b^2 = 9a^2 = 72/5
standard form:
x^2/((8/5)  y^2/((72/5)) = 1

Precalc  lllll, Saturday, December 4, 2010 at 6:20pm
Thank you!!I was just having a hard time on finding out a and b but now I understand.
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