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HKIMO 2017 THPT (Grades 10–12 shared) National Final (Heat) Set 04 Question 13

HKIMO · HKIMO 2017 THPT (Grades 10–12 shared) National Final (Heat) Set 04

Question 13

How many positive integers $x$ make $\sqrt{x^2-22x+221}$ an integer?