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Given that \(x\) is real and \(x^3+\frac{1}{x^3}=52\), find \(x+\frac{1}{x}\).

 Mar 5, 2019
 #1
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Hint:  Use the expansion of  \((x+\frac{1}{x})^3\)

 

Then it will all fall out.  If it doesn't at first then you may need to think a little harder.

 

Please no one answer over me, this should be a teaching site, which includes hints.   

(this site should not be a cheat site)

 Mar 5, 2019

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