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NMTC Junior 2023 P6

Source: NMTC Junior 2023 P6

November 8, 2023

inequalitiesnmtc

Problem Statement

The sum of squares of four reals

x,y,z,u

is

1

. Find the minimum value of the expression

E=(x-y)(y-z)(z-u)(u-x)

. Find also the minimum values of

x

,

y

,

z

and

u

when this minimum occurs.

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