What is the x-coordinate of the point on the x-axis that is equidistant from points A(2,0) and B(0,6)?
The point will be of the form x, 0
Use the distance formula between this point and EACH of the given points and equate them
sqrt [(x-2)^2 + 0^2] = sqrt [ (x-0)^2 + (0-6)^2 ] square both sides and simplify to
x^2 -4x +4 = x^2 + 36 now subtract x^2 from both sides and continue to solve for 'x' in the coordinate pair (x,0)