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HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03 Question 7

HKIMO · HKIMO 2018 THPT (Grades 10–12 shared) National Final (Heat) Set 03

Question 7

If $\sqrt[2019]{x}+1/\sqrt[2019]{x}=2$, find $x^{2019}+1/x^{2019}$.