Question

[(x^2 - 2x + 1) + (y^2 - 6x + 9) = 26 + 1 + 9\] now you need to complete factor both quadratics
(x−1)2+(x−3)2=62
so the general form is
(x−h)2+(y−k)2=r2
so the centre is (h, k) and radius is r you need to match this to your factored equation to find the center and radius if you match
(x−h)2+(y−k)2=r2...with...(x−1)2+(y−3)2=62
h = 1, k = 3 so the center is (1, 3) and the radius is 6