SOLUTION: what is x^4/3 - 13x^2/3 + 36 = 0

Question 226445: what is x^4/3 - 13x^2/3 + 36 = 0
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
what is x^4/3 - 13x^2/3 + 36 = 0
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It's a quadratic equation in x^(2/3).
If you want to solve for x (you didn't say):
Sub another name for x^(2/3), say z.
--> z^2 - 13z + 36 = 0
(z-4)*(z-9) = 0
z = 4, 9
--------
Now sub back
x^(2/3) = 4
x^2 = 64
x = +8, -8
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x^(2/3) = 9
x^2 = 729
x = +27, -27

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