Question 141322
Solve for x: 
sqrt (x-6) + sqrt (x+6) = 6 
a. 3
b. 16
c. 10
d. Cannot be solved 
This is what I have but it is not an answer. 
sqrt x-6 = sqrt x+6 +6
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Your 2nd line should be:
sqrt(x-6) = 6 - sqrt(x+6)
Now square both sides to get:
x-6 = 36-12sqrt(x+6)+x+6
-12 = 36-12sqrt(x+6)
-1 = 3 - sqrt(x+6)
-4 = sqrt(x+6)
Square both sides to get:
16 = x+6
x = 10
Checking in sqrt (x-6) + sqrt (x+6) = 6 :
sqrt(4) + sqrt(16) = 6
2 + 4 = 6
6=6

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Cheers,
Stan H.




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