SOLUTION: x to the 2/3 - 9x to the 1/3 + 8 = 0

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Question 4952: x to the 2/3 - 9x to the 1/3 + 8 = 0
Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E%282%2F3%29-9x%5E%281%2F3%29%2B8
Factor:
%28x%5E%281%2F3%29-8%29%28x%5E%281%2F3%29-1%29
Set it equal to zero:
%28x%5E%281%2F3%29-8%29%28x%5E%281%2F3%29-1%29=0
x%5E%281%2F3%29=8 or x%5E%281%2F3%29=1%29
cube both sides:
x=512 or x=1
check the solution with the original equation
512%5E%282%2F3%29-9%28512%29%5E%281%2F3%29%2B8=0
64-72%2B8=0
1%5E%282%2F3%29-9%281%29%5E%281%2F3%29%2B8=0
1-9%2B8=0
Both of these are correct.