Find all points on the x axis of a cartesian coordinate system that are 13 units from the point (0,5)

The line drawn from the point ( 0,5) will form a right angled triangle with sides 13,5 and 12 ( that is at   the point (12,0) on positive x axis).   WE calculate the 12 by using Pyhtagoras theorem-  13^2 = 5^2 + 12^2.

Another line can be draw to intersect the point (-12,0)  on the negative side.

Answer is  points (12,0) and (-12,0)

The variables should add up to equal 1