Home Competitions OMCPLP 2021 Problem 4
Let x 1 , x 2 , x 3 , x 4 , x 5 ∈ R + x_1, x_2, x_3, x_4, x_5\in\mathbb{R}^+ x 1 , x 2 , x 3 , x 4 , x 5 ∈ R + x 1 2 − x 1 x 2 + x 2 2 = x 2 2 − x 2 x 3 + x 3 2 = x 3 2 − x 3 x 4 + x 4 2 = x 4 2 − x 4 x 5 + x 5 2 = x 5 2 − x 5 x 1 + x 1 2 x_1^2-x_1x_2+x_2^2=x_2^2-x_2x_3+x_3^2=x_3^2-x_3x_4+x_4^2=x_4^2-x_4x_5+x_5^2=x_5^2-x_5x_1+x_1^2 x 1 2 − x 1 x 2 + x 2 2 = x 2 2 − x 2 x 3 + x 3 2 = x 3 2 − x 3 x 4 + x 4 2 = x 4 2 − x 4 x 5 + x 5 2 = x 5 2 − x 5 x 1 + x 1 2 x 1 = x 2 = x 3 = x 4 = x 5 x_1=x_2=x_3=x_4=x_5 x 1 = x 2 = x 3 = x 4 = x 5
Dataset text AI-MO AoPS . Quoted with source.
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