What is the x- coordinate of the point on the x-axis that is equidistant from points A( -2, 0) and B(0,4)?
Let the point be (x , 0)
We can solve this equating the squares of the distance formula
( x - - 2)^2 + (0-0)^2 = (0 -x)^2 + (4 - 0)^2
(x + 2)^2 = x^2 + 16
x^2 + 4x + 4 = x^2 + 16
4x + 4 = 16
4x = 16 - 4
4x = 12
x = 3
