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Benedict Irwin edited section_Fermat_Like_Problem_Observing__.tex
over 8 years ago
Commit id: 99b10d491753323f2e6ab58e7b8d1991e433948d
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diff --git a/section_Fermat_Like_Problem_Observing__.tex b/section_Fermat_Like_Problem_Observing__.tex
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--- a/section_Fermat_Like_Problem_Observing__.tex
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x}}}} -2x^4 +ax^2 +bx^2 -a^2 -b^2= \frac{x^5}{x+\frac{c}{x}} -x^4 +cx^2 -c^2
\end{equation}
For the greatest of these here, we can see when $x\to0$ we reclaim the next equation down $a^2+b^2=c^2$. The real solution of that equation in the limit $x\to 0$ is given by \begin{equation}
\frac{(3i+\sqrt{3})a^2b^2(a^2+b^2)+(\sqrt{3}-3i)(-a^6b^6(a^2+b^2)^3)^{1/3}}{6ab(-a^6b^6(a^2+b^2)^3)^{1/6}}
\end{equation}