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Timeline for Solving system of two equations

Current License: CC BY-SA 4.0

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Aug 25 at 1:14 comment added A. Kato @KZ-Spectra Let F(𝜇) denote the LHS of mueq. Then F(𝜇) → 1/12 (6 e Pi + A Pi^3)^2 as 𝜇 → -Pi^2/6 and F(𝜇) → 12 A e Pi^2 as 𝜇 → -∞. So the intermediate value theorem assures you that there is a solution 𝜇 to F(𝜇)=0, if A e < 0 and 6 e Pi + A Pi^3 ≠ 0.
Aug 24 at 19:43 comment added KZ-Spectra Just by testing different parameters, it seems they cannot share sign
Aug 24 at 19:14 comment added KZ-Spectra Is it possible to range $A$ and $e$ over a region and plot the corresponding pairs $(T,\mu)$ for solutions do exist?
Aug 24 at 15:27 vote accept KZ-Spectra
Aug 24 at 7:32 history answered A. Kato CC BY-SA 4.0