A Cool Polynomial System | Nice Graph!

🤩 Hello everyone, I'm very excited to bring you a new channel (aplusbi)
Enjoy...and thank you for your support!!! 🧡🥰🎉🥳🧡

If you need to post a picture of your solution or idea:
#polynomials #algebraicexpressions #algebra
via @YouTube @Apple @Desmos @NotabilityApp @googledocs @canva

PLAYLISTS 🎵 :

[lesnyk]

I started by factoring the cubic into (x+y)(x^2 + y^2 -xy)=37, and noting that 37 is prime. This meant that for any integer solutions, x+y could only be 1 or 37, & its quadratic multiplier could only be 37 or 1. Assuming the 1st scenario, & replacing x^2+y^2 in the quadratic with 25 left me with x+y=1 & xy=-12, leading to x=-3, y=4 and vice-versa. The 2nd scenario looked like it might be veering off into the complex plane, so I opened a beer and watched the video instead. I loved your method #2. Wish I'd thought of it.

[mcwulf]

I used the second method but ignored the radical solutions. 😅

[farhansadik]

2P or not 2P, that's the question!😂 Love to be an avid watcher

[nasrullahhusnan]

s²+s-74=0
s=½[-1±sqrt{1-4(-74)}]
=½[-1±sqrt(297)]
not s=½[-1±sqrt(300)] at 9:09

[GiuseppeAriano]

This is always the same thing... Waring formulae