SOLUTION: `Pls help out: {{{ x^(2/3) -5x^(1/3) + 6=0 }}}

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Question 947406: `Pls help out:
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
x^(2/3) - 5x^(1/3) + 6 = 0
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Let w = x^(1/3)
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Rewrite the quadratic::
w^2 - 5w + 6 = 0
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Factor::
(w-6)(w+1) = 0
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w = 6 or w = -1
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Solve for "x"::
If w = 6, x^(1/3) = 6 ; x = 6^3 = 216
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If w = -1, x^(1//3) = -1 ; x = (-1)^3 = -1
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Cheers,
Stan H.
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Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

`Pls help out: 




Let 

Then:  becomes: 

(a - 3)(a - 2) = 0

a = 3       OR       a = 2



a = 3

Since a was substituted for , then we can say that:



 ------- Cubing both sides





a = 2

Since a was substituted for , then we can say that:



 ------- Cubing both sides

 

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