What is the x- coordinate of the point on the x-axis that is equidistant from points A( -2, 0) and B\((0,2)\)?
+2668 Write as an equation: \((-2-x)^2+(0-y)^2=(0-x)^2+(2-y)^2\)
Setting \(y =0\), we have: \((-2-x)^2=(0-x)^2+4\)
Expanding, we get: \(x^2+4x+4=x^2+4\)
Solving, we get: \(\color{brown}\boxed{x = 0}\)
+2668 Write as an equation: \((-2-x)^2+(0-y)^2=(0-x)^2+(2-y)^2\)
Setting \(y =0\), we have: \((-2-x)^2=(0-x)^2+4\)
Expanding, we get: \(x^2+4x+4=x^2+4\)
Solving, we get: \(\color{brown}\boxed{x = 0}\)
