Question: Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written

Given three noncollinear points, there is one and only one circle that passes through them. Knowing that the equation of a circle may be written in the form x² + y² + ax + by + c = 0, find an equation of the circle passing through the given points.

(-5, 0), (2, -1), and (4, 3)

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