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# Coordinates

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What is the x- coordinate of the point on the x-axis that is equidistant from points A( -2, 0) and B\((0,2)\)?

Apr 15, 2022

#1
+2541
+1

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: \(\color{brown}\boxed{x = 0}\)

Apr 15, 2022

#1
+2541
+1

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: \(\color{brown}\boxed{x = 0}\)

BuilderBoi Apr 15, 2022