Hi

The point (x, y) is on the x-axis: P(x,0)

6 units from (1,4)

(1,4)

(x,0)  6 = 

         (1-x)^2 + 16 = 36

            (1-x)^2  = 20

             1 - x = ± √20

             1 ± 4√5 = x

 

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