'Impossible' fraction question? @drpeyam

$Impossible fraction question? @drpeyam$

Uploaded May 2022 | Updated September 2026, 1 week ago

impossible fraction equation? Is it true that 5/3 + 3/5 is equal to 1? A tricky math algebra question! We solve the equation x/y + y/x = 1 by putting under the common denominator, using the quadratic formula, and complex exponentials. The solution can be elegantly interpreted in terms of rotations and Euler's formula. We solve two variations: x/y + y/x = 0 and x/y + y/x = 2 which are much simpler and can be written in terms of lines and linear functions.

0:00 Introduction
3:00 Variation
4:40 Variation 0
5:23 Verification (finally)

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$Impossible fraction question?$

differential equations model for savings

$can you solve this integral equation? can you solve this integral equation? We use Laplace transforms to solve a really cool integral equation, which is an integral analog of differential equations. This is used a lot in applications, especially with the Lotka-Volterra equations that model population dynamics, like rabbits vs foxes. We also use partial fractions and inverse Laplace transforms. Enjoy this calculus and differential equations extravaganza! Subscribe to my channel: https://youtube.com/drpeyam Instagram: https://www.instagram.com/peyamstagram/ Teespring merch: https://dr-peyam.creator-spring.com/?$

This integral will have you on the floor!!