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cubic equation

Source: China south east mathematical Olympiad 2007 problem1

July 12, 2013
algebra unsolvedalgebra

Problem Statement

Determine the number of real number aa, such that for every aa, equation x3=ax+a+1x^3=ax+a+1 has a root x0x_0 satisfying following conditions: (a) x0x_0 is an even integer; (b) ∣x0∣<1000|x_0|<1000.
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