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MathNet 2008-part-04 — 165 problems (EN–VI) Question 116

Math Olympiad Vault · MathNet 2008-part-04 — 165 problems (EN–VI)

Question 116

We know that $|x+y|+|x-y|=1$. Find the least and the greatest value of expression $x^2 - 6x + y^2 - 6y$.