All points on the x-axis have their y-coordinates equal to 0.
So let the point (a,0) be a point on the x-axis such that the
distance from (12,5) to (a,0) is 13 units:

Use the distance formula:





Square both sides:





(((12-a)^2=144}}}

Take square roots of both sides



Using the +







Using the -







There are exactly two points, substituting in (a,0),

they are (0,0), and (24,0)




Edwin