Determine if the graph of the equation below is a parabola, circle, ellipse, hyperbola, point, line, two lines, or empty. $x^2 + 2y^2 - 6x - 20y + 59 = 12$
It is an ellispe because
putting it into conic form we have
\((x^2-6x+9)+2(y^2-10y+25)=12\)
\((x-3)^2+2(y-5)^2=12\)
\( \frac{(x-3)^2}{12}+\frac{(y-5)^2}{6}=1\)
you can also put it into desmos to see the graph of it