In math class today, we were discussing quadratic residues, and one of the things that came up was the fact that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

x^n-a=0

[/tex]

has n roots.

This just made me start thinking about real and complex roots. A question that I had was whether, given n>2, is it possible to have n real roots in the above eqn? If not, is there a simple proof to show why it is not possible?

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# Real roots?

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