Question 897795
{{{16x^2 + 25y^2 - 96x - 200y = -144}}}
{{{16x^2-96x+25y^2-200y=-144}}}
{{{16(x^2-6x)+25(y^2-8y)=-144}}}
{{{16(x^2-6x+9)+25(y^2-8y+16)=-144+16*9+25*16}}}
{{{16(x-3)^2+25(y-4)^2=400}}}
{{{(16/400)(x-3)^2+(25/400)(y-4)^2=1}}}
{{{(x-3)^2/25+(y-4)^2/16=1}}}
{{{(x-3)^2/5^2+(y-4)^2/4^2=1}}}
Ellipse,
{{{graph(300,300,-10,10,-10,10,4+sqrt((400-16(x-3)^2)/25),
4-sqrt((400-16(x-3)^2)/25))}}}