Question

Find the equation of the circle
x^2+y^2+Dx+Ey+F=0
that passes through the points:
(2,0)(-1,-3)(5,-3)

Answer 1

You need to substitute these points into your equation to obtain three different equations. You'll then have three linear equations in three unknowns which can be solved exactly.\[(2)^2+(0)^2+D(2)+E(0)+F=0\rightarrow 4 +2D+F=0\]and repeat for the other two points. You then use linear algebra to solve for D, E and F.

Answer 2

Oh ok great thank you!