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| ... |||x^2-x| -1|-1 |...-1|=x^2-2x-14 (IV Soros Olympiad 1997-98 R3 11.3)

Source:

June 2, 2024
algebra

Problem Statement

Solve the equation ...x2x11...1=x22x14.\left| ... \left|\left||x^2-x| -1\right|-1 \right|...-1\right|=x^2-2x-14. (There are 1111 units on the left side.)