## anonymous 5 years ago 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)

1. anonymous

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.

2. anonymous

Oh ok great thank you!