If-x-y-z-R-satisfy-the-equation-x-4-y-4-z-4-4xyz-1-find-minimum-value-of-x-y-z-

Question Number 85854 by jagoll last updated on 25/Mar/20

If x, y, z \in R satisfy the equation

x^{4} + y^{4} + z^{4} = 4 xyz - 1

find minimum value of

x + y + z

Commented by mr W last updated on 25/Mar/20

s e e m s t o b e 3

Commented by mr W last updated on 25/Mar/20

x = y = z = 1 f u l f i l l s t h e s y m m e t r y a n d

x^{4} + y^{4} + z^{4} = 4 x y z - 1

Missing \left or extra \right

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