+145 The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = -4x + 2y + 5
is a circle. Find the radius of the circle.
+20 so, we can simplify the equation to be \(4x^2-8x+4y^2+14y=-12.\)
dividing the equation by 4, we get \(x^2-2x+y^2+7y/2=-3\)
completing the square, we get \((x-1)^2+(y+\frac{7}{4})^2=\frac{17}{16}\)
17/16 is the radius squared, so we take the square root and get \(\boxed{\frac{\sqrt{17}}{4}}\)
