Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.
-$$2 x ^ { 2 } + 2 y ^ { 2 } + 16 x - 4 y + 26 = 0$$
A) no; the graph is the point $( 4 , - 1 )$
B) yes
C) no; the graph is the point $( - 4,1 )$
D) no; the graph is nonexistent

Question

Quizplus · Accepted Answer

The given equation is a circle because it can be rewritten in the standard form of a circle equation $(x - h)^2 + (y - k)^2 = r^2$ by completing the square for both $x$ and $y$.

Decide Whether or Not the Equation Has a Circle as Its