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MathNet 2015-part-05 — 191 problems (EN–VI) Question 171

Math Olympiad Vault · MathNet 2015-part-05 — 191 problems (EN–VI)

Question 171

Find all real numbers $x$ which satisfy the equation
$$
\sqrt[3]{2x+13} - \sqrt[3]{2x-13} = 2.
$$