Uploaded December 2021 | Updated September 2026, 1 week ago
Finding roots of an equation with 2021 and 2020. Solve some roots of x^2021 = x^2020 + 1 using modular arithmetic, difference of cubes, and some complex numbers. See how this equation is related to the unit circle in the complex plane and to Euler's formula. It even involves quadratic equations from 2021 and radicals and might be related to an important math paper. Happy new year everyone, hope this year is off to a good start
Original Stackexchange Problem: math.stackexchange.com/questions/3609765/how-to-find-a-complex-root-of-x2021-x20201-while-this-complex-root-also
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Finding roots of an equation with 2021 and 2020. Solve some roots of x^2021 = x^2020 + 1 using modular arithmetic, difference of cubes, and some complex numbers. See how this equation is related to the unit circle in the complex plane and to Euler's formula. It even involves quadratic equations from 2021 and radicals and might be related to an important math paper. Happy new year everyone, hope this year is off to a good start
Original Stackexchange Problem: math.stackexchange.com/questions/3609765/how-to-find-a-complex-root-of-x2021-x20201-while-this-complex-root-also
YT channel: youtube.com/drpeyam
TikTok: tiktok.com/@drpeyam
Instagram: instagram.com/peyamstagram
Twitter: twitter.com/drpeyam
Teespring merch: teespring.com/stores/dr-peyam
