SOLUTION: Solve the equation: 6x = sqrt(24+12x) x = -3/2, 1 x = 3/2, 1 x = 2/3, 1 x = -2/3, 1

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Question 1039579: Solve the equation:
6x = sqrt(24+12x)
x = -3/2, 1
x = 3/2, 1
x = 2/3, 1
x = -2/3, 1
Answer by Edwin McCravy(20066)   (Show Source): You can put this solution on YOUR website!
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Square both sides:





Get 0 on the right and left side in descending
order:



Divide every term on both sides by 12



Factor the left side:



Use the zero-factor property:



Checking  in original:







False, so -2/3 is not a solution.

Checking  in original:







True, so the only solution is x=1.
So none of the answers you listed are
correct because they all allow something
other than 1 to be a solution.

Edwin
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