Question 265883
.
(x-6)^2=4
~~~~~~~~~~~~~~~~~~~~~~



        In his post, @mananth provided only one value as the answer,  x = 8.

        Actually,  this equation has  TWO  solutions,  so the post by @manant is incomplete and,  therefore,  incorrect.


        See my complete and correct solution below.



(x-6)^2=4


Take square root of both sides.


Keep in mind that square root of the number  4  has two values,  2  and  -2.

Therefore


        x-6 = +/- 2.


        If x -6 = 2,   then   x = 2 + 6 = 8.


        If x - 6 = -2,  then x = -2 + 6 = 4.


Thus the given equation has two solutions,  &nbsp;x = 4  &nbsp;and  &nbsp;x = 8.    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<U>ANSWER</U>


Solved correctly and completely.