(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that there exists an x such that x^{3}= 2

2. Relevant equations

3. The attempt at a solution

I have deduced in an earlier part of the question, using the intermediate value theorem, that every monic polynomial of odd degree has a real root.

So if I consider x^{3}- 2 = 0, as a monic polynomial of odd degree, I know that it has a real root. Can I just say that this is the x that I am looking for? I don't feel like I've really proved it fully.

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# Homework Help: Prove that there exists an x such that x[SUP]3[/SUP] = 2

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