The distance between the points (x, 21) and (4, -7) is 10*sqrt(3) . Find the sum of all possible values of x.
10 sqrt (3) = sqrt 300
Using the square of the distance formula we have
(x - 4)^2 + ( -7 - 21)^2 = 300 simplify
(x - 4)^2 + 28^2 = 300
(x - 4)^2 + 784 = 300
(x - 4)^2 = - 484
No real solution for x ......!!!
