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HKIMO 2019 THPT (Grades 10–12 shared) National Final (Heat) Set 02 Question 15

HKIMO · HKIMO 2019 THPT (Grades 10–12 shared) National Final (Heat) Set 02

Question 15

If $k^2+(n-223)k-899=0$ and $n=1+3+5+\cdots+k$, find k.