Final answer:
The given equation does not represent a valid circle.
Step-by-step explanation:
To prove or disprove that the circle with equation (x-2)²+(y)²=-3 exists, we can analyze the equation. The equation represents a circle with center at (2,0) and radius √(-3). However, the equation of a circle cannot have a negative value for the radius, so this equation does not represent a real circle. Therefore, we can conclude that the given equation does not represent a valid circle.