You have the right line of thought when completing the square, however you have added to the equation without subtracting the equivalent amount to keep the equation the same. I would write:
Now, it's easy to see the circle is centered at (3,2) and has radius 5.
For part b) use and solve for . You will have a quadratic in so there will be two roots, giving you 2 points, both with -coordinate of 1.