Question 724417
Write a conic section equation for 
9(x^2-6x)+25(y^2-4y)=44
9(x^2-6x+9)+25(y^2-4y+4)=44+81+100
9(x-3)^2+25(y-2)^2=225
{{{(x-3)^2/25+(y-2)^2/9=1}}}
This is an equation of a hyperbola with horizontal transverse axis.
Its standard form: {{{(x-h)^2/a^2-(y-k)^2/b^2=1}}}, (h,k)=(x,y) coordinates of the center