SOLUTION: sqrt 2x+7 - sqrt x+7 = 1

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Question 1016258: sqrt 2x+7 - sqrt x+7 = 1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt 2x+7 - sqrt x+7 = 1
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sqrt(2x+7) = 1+sqrt(x+7)
Square both sides to get:
2x+7 = 1 + 2sqrt(x+7) + x+7
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x - 1 = 2sqrt(x+7)
Square both sides
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x^2 -2x + 1 = 4x + 28
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x^2 - 6x -27 = 0
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x = -3 or x = 9
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Check each of those answers in the original equation.
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Cheers,
Stan H.