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All real solutions of the absolue value problem

Source: Austrian Mathematical Olympiad 2000, Part 2, D1, P3

June 28, 2011
algebra proposedalgebra

Problem Statement

Find all real solutions to the equation ∣∣∣∣∣∣∣x2−x−1∣−3∣−5∣−7∣−9∣−11∣−13∣=x2−2x−48.| | | | | | |x^2 -x - 1| - 3| - 5| - 7| - 9| - 11| - 13| = x^2 - 2x - 48.
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