Let point P(x, 0) is on x-axis and equidistant from A(2, -5) and B (-2, 9)
PA = PB
or PA2 = PB2
(2 – x)2 + (– 5 – 0)2 = (– 2 – x)2 + (9 – 0)2
(2 – x)2 + (– 5)2 = (– 2 – x)2 + (9)2
29 + x2 – 4x = 85 + x2 + 4x
56 = – 8x
or x = – 7
The point on ×-axis is (– 7, 0)
