Question

What is the standard equation of this hyperbola?
4x2  = 36 + 9

y 2

Answer 1

`4x^2 = 36 + 9y^2\\ \\ 4x^2-9y^2=36\\ \\ (4x^2)/(36)-(9y^2)/(36)=(36)/(36)\\ \\ \boxed{(x^2)/(9)=(y^2)/(4)=1}`