SOLUTION: sqrt(x+6) + sqrt(2-x) = 4

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Question 943430: sqrt(x+6) + sqrt(2-x) = 4
Answer by CubeyThePenguin(3113) About Me  (Show Source):
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sqrt(x+6) + sqrt(2-x) = 4

sqrt(x+6) = 4 - sqrt(2-x)

x + 6 = 16 + (2-x) - 8sqrt(2-x)

2x - 12 = -8sqrt(2-x)

-x/4 + 2/3 = sqrt(2-x)

2-x = (-x/4 + 2/3)^2

x = -2