+550 The graph of the equation
4x^2 - 12x + 4y^2 + 16y + 17 = -4x + 2y + 5
is a circle. Find the radius of the circle.
+1786 Combining all like terms and bringing all terms to one side, we get
\(4x^2 - 8x + 4y^2 + 14y + 12 =0 \).
Now, completing the square fot both x and y, we get
\(\left(x-1\right)^2+\left(y-\left(-\frac{7}{4}\right)\right)^2=\left(\frac{\sqrt{17}}{4}\right)^2\)
According to the equation of the circle,
we get \(r=\sqrt{\left(\frac{\sqrt{17}}{4}\right)^2}=\sqrt{17}/4\)
Thanks! :)
