#not necessarily university, more like math competition math (dw the competition ended)

1 messages · Page 1 of 1 (latest)

fluid osprey
strange thunderBOT
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fluid osprey
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for the second question ive reduced it to "find d if (1000a+100b+10c+d)/25(a+b+c+d) is an integer"

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idk whether this is the appropriate forum

fluid osprey
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https://en.wikipedia.org/wiki/Viviani's_theorem
NO. 1 HAS BEEN RESOLVED

Viviani's theorem

Viviani's theorem, named after Vincenzo Viviani, states that the sum of the shortest distances from any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. It is a theorem commonly employed in various math competitions, secondary school mathematics examinations, and has wide applicability to many ...

fluid osprey
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two

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two thousand and twenty four

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are you sure

oak moth
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start with small cases and figure out by induction

fluid osprey
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uh ok

oak moth
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$$ f(x) := \sqrt{m+\sqrt{x}} $$

dull tuskBOT
oak moth
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then your nest is

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$$ f^{2023}(m) $$

dull tuskBOT
oak moth
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$$ n=f^{2023}(m) = f(z) = \sqrt{m+\sqrt{z}} $$

dull tuskBOT
oak moth
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$$ f^{2022}(m) = z = (n^2-m)^2 $$

dull tuskBOT
oak moth
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..unless I messed up with something

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@fluid osprey

fluid osprey
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uh sure