- #1
Kate2010
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Homework Statement
Prove that there exists an x such that x3 = 2
Homework Equations
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 x3 - 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.