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Let-a-b-c-d-are-positive-real-numbers-If-x-a-b-c-d-1-The-minimum-value-of-x-a-x-b-x-c-x-d-abcd-is-




Question Number 9489 by Joel575 last updated on 10/Dec/16
Let a, b, c, d are positive real numbers  If x = a + b + c + d = 1  The minimum value of  (((x−a)(x−b)(x−c)(x−d))/(abcd))  is ...
$$\mathrm{Let}\:{a},\:{b},\:{c},\:{d}\:\mathrm{are}\:\mathrm{positive}\:\mathrm{real}\:\mathrm{numbers} \\ $$$$\mathrm{If}\:{x}\:=\:{a}\:+\:{b}\:+\:{c}\:+\:{d}\:=\:\mathrm{1} \\ $$$$\mathrm{The}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of} \\ $$$$\frac{\left({x}−{a}\right)\left({x}−{b}\right)\left({x}−{c}\right)\left({x}−{d}\right)}{{abcd}}\:\:\mathrm{is}\:… \\ $$

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