Question 165
A positive real number $x$ is such that
$$
\sqrt[3]{1-x^{3}}+\sqrt[3]{1+x^{3}}=1
$$
Find $x^{2}$.
$$
\sqrt[3]{1-x^{3}}+\sqrt[3]{1+x^{3}}=1
$$
Find $x^{2}$.
MathNet 2007-part-03 — 185 problems (EN–VI) Question 165
Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)