Home Competitions GAIC Math 2024 Problem 65
GAIC Math 2024 Problem 65
Let positive real numbers x 1 , x 2 , x 3 , x 4 x_1, x_2, x_3, x_4 x 1 , x 2 , x 3 , x 4 x 1 x 2 + x 2 x 3 + x 3 x 4 + x 4 x 1 = x 1 x 3 + x 2 x 4 x_1x_2+x_2x_3+x_3x_4+x_4x_1=x_1x_3+x_2x_4 x 1 x 2 + x 2 x 3 + x 3 x 4 + x 4 x 1 = x 1 x 3 + x 2 x 4 f = x 1 x 2 + x 2 x 3 + x 3 x 4 + x 4 x 1 f=\frac{x_1}{x_2}+\frac{x_2}{x_3}+\frac{x_3}{x_4}+\frac{x_4}{x_1} f = x 2 x 1 + x 3 x 2 + x 4 x 3 + x 1 x 4
Dataset text MathOdyssey . Open licence.
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