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.

(-1, 3), (6, 2), and (-2, -4)

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