SOLUTION: Solve for x: 8(8-3x)^(3/2)=27

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Question 949342: Solve for x: 8(8-3x)^(3/2)=27
Found 2 solutions by CubeyThePenguin, ikleyn:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
8(8 - 3x) = 27^(2/3) = 9
8 - 3x = 9/8
-3x = -55/8
x = 55/24

Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
.


            The solution by  @Penguin is  INCORRECT.

            I came to bring you a correct solution. 


8*(8 - 3x)^(3/2) = 27  ------>


(8 - 3x)^(3/2) =  27%2F8  ---->  raise both sides to the degree of  (2/3)


8 - 3x =  %2827%2F8%29%5E%282%2F3%29


8 - 3x = 9%2F4


8 - 9%2F4 = 3x


23%2F4 = 3x


x = 23%2F12.      ANSWER

Solved (correctly).