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Enter all positive solutions to $4x^{1/3}-2\frac{x}{x^{2/3}}=7+\sqrt[3]{x}$.

 

Thanks for helping!

 Nov 17, 2020
 #1
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Simplifying this we  have :

 

4x^(1/3)   - 2x^(1/3)  = 7 + x^(1/3)  

 

3x^(1/3) - 2x^(1/3)  = 7

 

x^(1/3)  = 7           cube  both sides

 

x = 7^3  =  343

 

 

cool cool cool

 Nov 17, 2020

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