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||x| -1| = a |x|+b |x-1|+c |x+1| + d (VII Soros Olympiad 2000-01 R1 9.2)

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July 27, 2021
algebra

Problem Statement

Find a,b,c,da, b, c, d such that for all xx the equality ∣∣x∣−1∣=a∣x∣+b∣x−1∣+c∣x+1∣+d|| x | -1 | = a | x | + b | x-1 | + c | x + 1 | + d holds.
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