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HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 02 Question 8

HKIMO · HKIMO 2026 THPT (Grades 10–12 shared) National Preliminary Set 02

Question 8

For real $x,y$, find $x+y$ when $x^2-12x+3|2x-3y|$ is minimum.
  1. 10
  2. $-36$
  3. 6
  4. 2