Interval or discrete values ??!!

Calculus Level 5

Let x1,x2,x2,.....,xnx_1,x_2,x_2,.....,x_n be nn real values of pp for which the least value of 4x24px+p22p+24x^2-4px+p^2-2p+2 on the interval 0x20 \leq x \leq 2 is equal to 3. Find the value of

x1+x2+x3+....+xnn.\dfrac{x_1+x_2+x_3+....+x_n}{n}.

Note: Answer to 3 decimal points.

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