bridge hands and math and computer science and programming and puzzles and etc and etc.
I think it is from the French Olympiad, not sure.
$x, y$ are positive reals. Show that
$$ x^y + y^x \ge 1$$
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A follow up question, show that $x^y+y^x > 1+xy$ for $x,y \in (0, 1)$
Hey just saw this! You got the math working in the comments :)
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ReplyDeleteA follow up question, show that $x^y+y^x > 1+xy$ for $x,y \in (0, 1)$
ReplyDeleteHey just saw this! You got the math working in the comments :)
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