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# help

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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

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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