SOLUTION: 3 cuberoot x -4=2

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Question 112419: 3 cuberoot x -4=2
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean 3%2A%28x-4%29%5E%281%2F3%29=2. (I have to use fractional exponents because the formula rendering system doesn't handle higher order roots, but remember that x raised to the 1/n is the same as the nth root of x).


3%2A%28x-4%29%5E%281%2F3%29=2
%28x-4%29%5E%281%2F3%29=2%2F3
%28%28x-4%29%5E%281%2F3%29%29%5E3=%282%2F3%29%5E3
x-4=8%2F27
x=8%2F27%2B4
x=%288%2B108%29%2F27
x=116%2F27

And this is in simplest form because 116 does not have 3 as a factor.

Check:
3%2A%28%28116%2F27%29-4%29%5E%281%2F3%29=2
3%2A%28%28116%2F27%29-%28108%2F27%29%29%5E%281%2F3%29=2
3%2A%288%2F27%29%5E%281%2F3%29=2
3%2A%282%2F3%29=2: Check.