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Question: Minimum.

Question:Minimum.

Christian Wolinski 1585 Maple
minimum
June 12 2022
1

How does one compute the location of the minimum algebraically (rather than numerically) of the following expression:
F:=((z^2+(z^2+2*z+2)^(1/2)*(z^2+1)^(1/2)+z+1)^(1/2)*(-z^2+(z^2-2*z+2)^(1/2)*(z^2+1)^(1/2)+z-1)^(1/2)-(z^2+(z^2-2*z+2)^(1/2)*(z^2+1)^(1/2)-z+1)^(1/2)*(-z^2+(z^2+2*z+2)^(1/2)*(z^2+1)^(1/2)-z-1)^(1/2)+2*z)/(2*z^2+2);
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