They Asked for x^100… The Answer Was Just Cosine?!
Автор: Math Coder
Загружено: 2025-09-03
Просмотров: 194
In this video, we solve a fascinating math olympiad problem step by step using Euler’s Formula. What looks like a complicated expression — x plus 1 over x equals square root of 3, find x to the power of 100 plus 1 over x to the power of 100 — turns into something surprising!
Along the way, we explore how quadratic equations, trigonometry, and complex numbers connect beautifully through Euler’s identity: e to the i theta equals cosine theta plus i sine theta. You’ll also see why cosine suddenly appears in the final answer, and why this problem is a perfect example of the elegance of mathematics.
Whether you’re preparing for math olympiads, studying complex numbers, or just love elegant math tricks, this problem will blow your mind.
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