Question

Write this equation in standard form
9x^2-4y^2-24y-72=0

Answer 1

`9x^2-4y^2-24y-72=0\\ \\ 9x^2-4y^2-24y=72\\ \\ 9x^2-(4y^2+24y+36)=72-36\\ \\ 9x^2-4(y+3)^2=36\\ \\ (9x^2)/(36)-(4(y+3)^2)/(36)=(36)/(36)\\ \\ \boxed{(x^2)/(4)-((y+3)^2)/(9)=1}`