Question 265883: (x-6)^2=4
Found 3 solutions by mananth, JBarnum, ikleyn:
Answer by mananth(16949)   (Show Source):
Answer by JBarnum(2146)  (Show Source):
Answer by ikleyn(53746)  (Show Source):
You can put this solution on YOUR website! .
(x-6)^2=4
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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, x = 4 and x = 8. ANSWER
Solved correctly and completely.
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