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 March 19th, 2017, 01:59 PM #1 Newbie   Joined: May 2011 Posts: 8 Thanks: 0 Elliptic curves and usage of derivative to find solutions Why would opposite sign of $f(\alpha_1)$ and $f(\alpha_2)$ give real roots? Why would f(x) only increase if a>0? And why would it lead to 1 real solution?

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