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Posed by the Legend himself, Titu Andreescu and Nikolai Nikolov, functional equation that will surprise you on every step towards the final solution. Enjoy! ✨
The equation itself suggests that there shouldn’t be that many pairs of such numbers, but what exactly are they? 🤔 That’s the question Nguyen proposed for Polish Math Olympiad, which stays to be a great place to find interesting math problems. Have fun! 🔥
Triangle 🔼 from another Triangle 🔺 Angles are the new Sides. So simple, yet so elegant! Don’t miss the additional task of finding out when these two triangles are similar. In my opinion it’s a great challenge to tackle. Have fun!
This problem’s difficulty comes from the fact that you need to know what the Lambert W function is beforehand. It requires almost no mathematical knowledge that should be expected from soon-to-be math students. What’s the point?
Hot take: The First Isomorphism Theorem deserves to be called the Fundamental Theorem of Algebra. It’s true for Groups, Rings, Modules, Lie Algebras. It even underpins Rank–Nullity in Linear Algebra, and quotient spaces in topology. It’s in the DNA of algebraic structure itself
Silksong has been a blast and since I’m doing the true ending, I remembered how beautiful the hive area from the original game was 🤩 hence we doing golden theme today! Oh, the problem? Yeah, it’s pretty easy. But still matches the theme! 😏
Math is the highest form of art.
You don’t feel like a square today? Don’t worry, product of 4 positive integers doesn’t feel like that every day. Tbh I love that problem because you can solve it in so many brilliant ways. Can you find a new one? 👀
For the end of Summer, let’s have some fun with a… kite! 🪁 You are given a square with 4 points that bisect its sides. Your task is to calculate the middle area. Try to make your solution as unique as possible. No repeated solutions please! 😏
Anakin was never the same after trying to solve this integral 🫠 Can you prevail? 😏
You think this problem is easy? Quite the opposite tbf, depths of hell would spit this problem out 🔥 Nah, it isnt that hard. But I keep this type of problem close to my heart ❤️ enjoy! Note: finding x is not the way here.
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