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Solve result is missing a solution over Reals?

POSTED BY: Dustin Gaskins
4 Replies
POSTED BY: Adam Strzebonski

Pretty much, except that Solve uses restricted versions of some of the methods for solving transcendental systems, so it may fail for some transcendental problems that Reduce may solve.

POSTED BY: Adam Strzebonski

Thank you! Is doing Solve with MaxExtraCondtions-> All going to give the same answer as Reduce every time as it did in Frank's response above?

POSTED BY: Dustin Gaskins
Reduce[12 z^2 (-243 - 27 y + z^2) == 0, {z, y}, Reals]

 z == 
  0 || ((z < 0 || z > 0) && y == -((243 z^2 - z^4)/(27 z^2)))

Limit[-((243 z^2 - z^4)/(27 z^2)), z -> 0]

 -9
POSTED BY: Frank Kampas
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