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MathNet 2019-part-07 — 184 problems (EN–VI) Question 109

Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)

Question 109

Determine the smallest possible value of $x^6 + x^4y^2 + x^2y^4 + y^6$, given that the product of real numbers $x, y$ is $1$?