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^2# #=># #9^2=6^2+b^2# #=># #b^2 = 81-36# #=># #b^2=45# #=># #b=+-3sqrt(5)# #x^2/a^2 - y^2/b^2 = 1# #=># # x^2/36 - y^2/45 =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= 0#? What type of conic section has the equation #4x^2 - y^2 +4y - 20= 0#? What type of conic section has the equation #9y^2 - x^2 - 4x+54y +68= 0#? What type of conic section has the equation #4x^2 - y^2 - 16x - 2y+11=0= 0#? How do I convert the equation #4x^2 - y^2 - 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# to standard form? What type of conic section has the equation #4x^2-y^2=16#? What type of conic section has the equation #9x^2-4y^2=36#? How do I convert the equation #9x^2−y^2+54x+10y+55=0# to standard form? See all questions in General Form of the Equation Impact of this question 4300 views around the world You can reuse this answer Creative Commons License