(x - 3)^2 + (x - 1)^2 - 9 = 0
(x^2 - 6x + 9) + (x^2 - 2x + 1) - 9 = 0
2x^2 - 8x + 1 = 0
(2x^2 - 8x) + 1 = 0
2(x^2 - 4x) + 1 = 0
2(x - 2)^2 - 8 + 1 = 0
2(x - 2)^2 - 7 = 0
2(x - 2)^2 = 7
(x - 2)^2 = 7/2
x - 2 = sqrt(7/2) or = -sqrt(7/2)
x = 2 + sqrt(7/2) or x = 2 - sqrt(7/2)
To graph, draw a number line and just shade x = 2 + sqrt(7/2) as well as 2 - sqrt(7/2). Then you are done.