olymmath

KöMaL 2020 B5097

    The product of the positive numbers x1,x2,…,xnx_1,x_2,\dots,x_n is 11. Prove that x14+x24+⋯+xn4≥x13+x23+⋯+xn3.x_1^4+x_2^4+\dots+x_n^4 \ge x_1^3+x_2^3+\dots+x_n^3.

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