root of x^3- x- 3 = 0 vs \sqrt[5]{13} (III Soros Olympiad 1996-97 R2 11.3)
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May 31, 2024
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Problem Statement
Prove that the equation x^3- x- 3 = 0 has a unique root. Which is greater, the root of this equation or ? (Use of a calculator is prohibited.)