## anonymous 5 years ago 3xy^2+4y^2=4x^2-11x defines Y as a function of x.

$3xy^2+4y^2=4x^2-11x$$y^2(3x+4)=4x^2-11x$$y^2=\frac{4x^2-11x}{(3x+4)}$$y^2=\frac{x(4x-11)}{3x+4}$$y=\pm \sqrt{\frac{x(4x-11)}{3x+4}}$