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Here is this week's POTW:

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Let ##x## and ##y## be the positive real numbers such that ##x^5+y^3 \le x^2+y^2##.

Prove that ##x(x+y)\le 2##.

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Let ##x## and ##y## be the positive real numbers such that ##x^5+y^3 \le x^2+y^2##.

Prove that ##x(x+y)\le 2##.

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