Question 120
Find all real numbers $x$ that solve the equation
$$
\sqrt[3]{x+1}+\frac{6-6 \sqrt[3]{x+1}}{\sqrt{x+1}-\sqrt[6]{x+1}}=1
$$
$$
\sqrt[3]{x+1}+\frac{6-6 \sqrt[3]{x+1}}{\sqrt{x+1}-\sqrt[6]{x+1}}=1
$$
MathNet 2018-part-05 — 181 problems (EN–VI) Question 120
Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)