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18.03.2013

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, x3 - px + 1 = 0 pZ, p > 2.

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x1Z, x13 - px1 + 1 = 0, pZ, p > 2.

x1(x12 - p) = -1.

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x1 = 1, (x12 - p) = -1; 1 - p = -1, p = 2, .

x1 = -1, (x12 - p) = 1; 1 - p = 1, p = 0, .

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. x1Q \ Z, x13 - px1 + 1 = 0, pZ, p > 2.

, x1 m/n, mN, nZ. , m/n - , m3/n2 - . :

(m/n)3 - p(m/n) + 1 = 0.

m3/n2 = pm - n.

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