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(2x + 1)^4 + ax(x + 1) - x/2= 0

Source: Austrian Regional Competition For Advanced Students 2000 p2

October 4, 2022
algebra

Problem Statement

For any real number aa, find all real numbers xx that satisfy the following equation. (2x+1)4+ax(x+1)−x2=0(2x + 1)^4 + ax(x + 1) - \frac{x}{2}= 0
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