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## Homework Statement

Find coefficients a, b, c, d so that the circle with the following 3 points satisfies the equation:

[tex]ax^{2} + ay^{2} + bx + cy + d = 0[/tex]

Points:

(-4, 5)

(4, -3)

(-2, 7)

## Homework Equations

## The Attempt at a Solution

I'm wondering if since I can only construct 3 equations from the 3 points, if I will have to make one unknown a parameter - probably d.

Is there a way to construct a 4 th equation which I'm missing?

Thanks!