SOLUTION: Convert the equation 6x^2-3y^2+12x-18y-3=0 to the standard form of a hyperbola. Thank you.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Convert the equation 6x^2-3y^2+12x-18y-3=0 to the standard form of a hyperbola. Thank you.      Log On


   

Question 1160251: Convert the equation 6x^2-3y^2+12x-18y-3=0 to the standard form of a hyperbola. Thank you.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Move constant term to RHS, group by variable, and factor lead coefficient from each group:



Complete the square on each group and compensate in the RHS considering the lead coefficient on each group:



Factor the two perfect square trinomials, divide both sides by the constant term in the RHS, and arrange with positive term leading:




John

My calculator said it, I believe it, that settles it