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HKIMO 2020 THPT (Grades 10–12 shared) National Final (Heat) Set 01 Question 15

HKIMO · HKIMO 2020 THPT (Grades 10–12 shared) National Final (Heat) Set 01

Question 15

If $k^2+(n-782)k-3135=0$ and $n=1+3+5+\cdots+k$, find $k$.