Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.
-$$x ^ { 2 } + y ^ { 2 } + 16 x + 12 y + 211 = 0$$
A) no; the graph is the point $( - 8 , - 6 )$
B) no; the graph is nonexistent
C) yes
D) no; the graph is the point $( 8,6 )$

Question

Quizplus · Accepted Answer

The equation does not represent a circle because completing the square for both $x$ and $y$ terms results in a negative radius squared, which is not possible for a real circle. Thus, the graph is nonexistent.

Decide Whether or Not the Equation Has a Circle as Its