SOLUTION: X^(2/3)-6x^(1/3)+5

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Question 698364: X^(2/3)-6x^(1/3)+5
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
You probably meant x^(2/3)-6x^(1/3)+5=0
With the change of variable y=x^(1/3) --> x^(2/3)=[x^(1/3)]^2=y^2 ,
the equation turns into the quadratic equation
y%5E2-6y%2B5=0 with solutions y=1 and y=5

Going back to x ,
y=x^(1/3) <--> y%5E3=x , so
y=1 --> y%5E3=x=1%5E3=1 --> highlight%28x=1%29
y=5 --> y%5E3=x=5%5E3=125 --> highlight%28x=125%29