SOLUTION: (7) Question: How many solutions for x are there in this equation: sqrt x-4 - sqrt x+8 =2? DO NOT count extraneous solutions. (A) 0 (B) 1 (C) 2 (D) 3 Please be specific a

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Question 30455: (7) Question:
How many solutions for x are there in this equation:
sqrt x-4 - sqrt x+8 =2?
DO NOT count extraneous solutions.
(A) 0
(B) 1
(C) 2
(D) 3
Please be specific as to which letter answer is correct. Thanks!

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I get 1 solution
(B) is the answer


square both sides

cancel x's, combine terms


square both sides


check
sqrt(8-4) - sqrt(8+8) = 2

+2 -4 = -2
+2 +4 = 6
-2 -4 = -6
-2 +4 = 2

is the correct answer (B)

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