What is the equation of a hyperbola with a=6 and c=9?

1 Answer
Jun 5, 2015

c^2=a^2+b^2c2=a2+b2 => 9^2=6^2+b^292=62+b2 => b^2 = 81-36b2=8136 => b^2=45b2=45 => b=+-3sqrt(5)b=±35

x^2/a^2 - y^2/b^2 = 1x2a2y2b2=1 => x^2/36 - y^2/45 =1 x236y245=1, that is the equation of the hyperbola.