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4
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1answer
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Proving Fermat's Last Theorem (easily) using “assumed” conjectures
It can easily be proven assuming Szpiro's conjecture that Fermat's Last Theorem is true for sufficiently large $n$. The proof consists of extremely straightforward computations. My question is, is ...
3
votes
3answers
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Show that the curve $y^2 = x^3 + 2x^2$ has a double point, and find all rational points
Show that the curve $y^2 = x^3 + 2x^2$ has a double point. Find all rational points on this curve.
By implicit differentiation of $x$, $-3x^2 - 4x$ vanishes iff $x = -4/3$ and $0$.
By implicit ...
