What is the $x$-coordinate of the point on the $x$-axis that is equidistant from points $A( -2, 0)$ and $B(0,4)$?
It is on the x-axis , so the y coordinate will be '0'
x, 0
Distance from point a= sqrt ((-2-x)^2 + 0^2)
equate to the distance from point b
sqrt(0-x)^2 + (4-0)^2
x^2 +16 = 4 +4x + x^2
12 = 4x
x = 3
since y = 0 the point is 3,0 and the distance from each point is 5