Question

If the points A(x,2) is equidistant from the points B(8,-2) and C(2,-2) find the value of x. Also find the length of AB

Answer 1

$x - 16x + 64 + 16 = {x}^{2} - 4x + 4 + 16$
$- 16x + 4x = 4 - 64$
-12x = -60
Hence,x=5