E. (10 pts ) Find the circle that runs through the points (5,2),(3,2), and (1,6). Write your equation in the form a+bx+cy+x2+y2=0. Find the center and radius of this circle. Hints: (a) The points are of the form (x,y) - plug each point into the equation to generate your system of equations. (b) To find the center and radius of the resulting equation, rearrange it into the form (xxc)2+(y yc)2=r2 using the technique of completing the square