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Cube Root Condition

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September 7, 2024
algebra2024

Problem Statement

Let xx be a real number satisfying 125−x33−27−x33=7. \sqrt[3]{125-x^3}-\sqrt[3]{27-x^3}=7. Compute ∣125−x33+27−x33∣|\sqrt[3]{125-x^3}+\sqrt[3]{27-x^3}|.
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