SOLUTION: Solve: x^2/3 -5x^1/3 +6=0

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Question 82371: Solve:
x^2/3 -5x^1/3 +6=0
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
x^2/3 -5x^1/3 +6=0
%28x%5E%281%2F3%29%29%5E2-5x%5E%281%2F3%29%2B6=0
Let P=x^(1/3)
P%5E2-5P%2B6=0
%28P-2%29%28P-3%29=0
p-2=0 or P-3=0
P-2+2=0+2 or P-3+3=0+3
P=2 or P=3
Let x^(1/3)=P
x%5E%281%2F3%29=2 or x%5E%281%2F3%29=3
%28x%5E%281%2F3%29%29%5E3=2%5E3 or %28x%5E%281%2F3%29%29%5E3=3%5E3
highlight%28x=8%29 or highlight%28x=27%29
Check your answers:
%288%29%5E%282%2F3%29-5%288%29%5E%281%2F3%29%2B6=0
%284%29-5%282%29%2B6=0
4-10%2B6=0
0=0 8's a right answer
%2827%29%5E%282%2F3%29-5%2827%29%5E%281%2F3%29%2B6=0
9-5%283%29%2B6=0
9-15%2B6=0
0=0 27's right too!
Happy Calculating!!!!