SOLUTION: I'm having difficulty solving this question: Solve for x: 2x^(-2/3) - 5x^(-1/3) - 3 = 0 Here is where I'm stuck: 2/x^(2/3) - 5/(x^(1/3) = 3 What do I do from here?

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Question 842624: I'm having difficulty solving this question:
Solve for x: 2x^(-2/3) - 5x^(-1/3) - 3 = 0
Here is where I'm stuck: 2/x^(2/3) - 5/(x^(1/3) = 3
What do I do from here?

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,

The Idea is to Let n =
2n^2 - 5n - 3 = 0
(2n+1)(n-3)= 0
(2n+1)= 0, n = -1/2,
0r (n-3)= 0, n = 3 , x = 1/27
n = , n^3 = 1/x (Cubing both sides) 0r x = 1/n^3

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