Question 990646
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{{{x^2 + y^2 - 2x - 6y + 9}}} = {{{(x-1)^2 - 1 + (y-3)^2}}}. 


So, your equation is 


{{{(x-1)^2 + (y-3)^2}}} = 1.


It is the equation of the circle of the radius 1 with the center at the point (x,y) = (1,3).


Is it clear to you?


Next. The centers of the two new circles should be at he distance of 1 + 4 = 5 units from this point. 


Is it clear?


So, you need to find the centers of these two circles in x-axis, that are at the distance of 5 units from the point (1,3). 


Now make a sketch and complete the solution of the problem yourself.


Good luck.