The graph of the equation 4x^2 - 12x + 4y^2 + 16y + 17 = 3x^2 + 3y^2 + 2x - 4y is a circle. Find the radius of the circle.
Simplify as
x^2 - 14x + y^2 + 20y = -17 complete the square on x, y
x^2 - 14x + 49 + y^2 + 20y + 100 = -17 + 49 + 100
( x - 7)^2 + ( y + 10)^2 = 132
The center is (7, -10) and the radius = sqrt (132) = = sqrt (4 * 33) = 2sqrt (33)
+1418 
