You can put this solution on YOUR website! What conic equation is represented here and give its standard form:
9x^2+4y^2-54x-8y-59=0
9x^2-54x+4y^2-8y=59
complete the square
9(x^2-6x+9)+4(y^2-2y+1)=59+81+4
9(x-3)^2+4(y-1)^2=144
This is an equation of an ellipse with vertical major axis and center at (3,1)