What is the equation of a hyperbola with a=6 and c=9? Precalculus Geometry of a Hyperbola General Form of the Equation 1 Answer Alex Boroda Jun 5, 2015 c^2=a^2+b^2c2=a2+b2 =>⇒ 9^2=6^2+b^292=62+b2 =>⇒ b^2 = 81-36b2=81−36 =>⇒ b^2=45b2=45 =>⇒ b=+-3sqrt(5)b=±3√5 x^2/a^2 - y^2/b^2 = 1x2a2−y2b2=1 =>⇒ x^2/36 - y^2/45 =1 x236−y245=1, that is the equation of the hyperbola. Answer link Related questions What type of conic section has the equation 4x^2 - 25y^2 - 50y - 125= 04x2−25y2−50y−125=0? What type of conic section has the equation 4x^2 - y^2 +4y - 20= 04x2−y2+4y−20=0? What type of conic section has the equation 9y^2 - x^2 - 4x+54y +68= 09y2−x2−4x+54y+68=0? What type of conic section has the equation 4x^2 - y^2 - 16x - 2y+11=0= 04x2−y2−16x−2y+11=0=0? How do I convert the equation 4x^2 - y^2 - 24x+4y +28= 04x2−y2−24x+4y+28=0 to standard form? How do I use completing the square to convert the general equation of a hyperbola to standard form? How do I convert the equation -9x^2 +4y^2 +72x-16y =164−9x2+4y2+72x−16y=164 to standard form? What type of conic section has the equation 4x^2-y^2=164x2−y2=16? What type of conic section has the equation 9x^2-4y^2=369x2−4y2=36? How do I convert the equation 9x^2−y^2+54x+10y+55=09x2−y2+54x+10y+55=0 to standard form? See all questions in General Form of the Equation Impact of this question 4511 views around the world You can reuse this answer Creative Commons License