Determine if the graph of the equation below is a parabola, circle, ellipse, hyperbola, point, line, two lines, or empty. Enter the most specific answer. x^2 + 2y^2 - 6x - 8y + 21 = 0
x^2 + 2y^2 - 6x - 8y + 21 = 0 complete the square on x, y
(x^2 -6x + 9 ) + 2(y^2 - 4y + 4) = -21 + 9 + 8
( x - 3)^2 + 2 ( y - 2)^2 = -4
This is empty......both squared quantities added together will have a minimum of 0 when (x,y)= ( 3,2)
And this sum will never = -4
+980 
