Solving a Nice Diophantine Equation in Number Theory

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In this video, we are solving a nice diophantine equation in number theory leading to positive integer solutions. Basic but very interesting algebra question, and diophantine equation in number theory you will relax enjoying and watching to come up with the final answer. Diophantine equation solved with factoring skills. Make sure to watch the video until the end, and stay tuned!

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Nice prof, thanks for this beautiful work. First to comment on this release boss...hahaha

jakeswealthworld
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Your explanations are great! Glad to have found your channel 😄

badmath
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x = 10 and y = 4, in "real life".
I did it without the method which I need to grasp obviously.
So, doing that in my head (trying a couple of numbers) I came up with x(10) + xy (10 X 4) + y (4) = 54.
Or 10 + 40 + 4 = 54.
But I get that it would not be that easy with bigger numbers.

aryusure
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Wow!!! wonderful one from the best online maths tutor, my great boss.
Thumbs up sir.

onlineMathsTV
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Simon's Favorite Factoring Trick!

bennettortiz
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Can you make a video on Euler application and Pell’s equations please?

beneisenberg
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14 the fastest way i found is just giving a value to x than seing if 54-x can be divided by y(x+1)

rafaelcanha
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Love the video professor, nicely presented

MrGLA-zsxt
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It is just a pure joy watching you solve the problem professor

domedebali
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You can call me an odd person, but even I love how writing on the blackboard at x2 video speed sounds like ♥
(sorry for bad puns, though I hope they are logically correct)

scarletevans
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Great! not difficult and doable so enjoyed this so much

mathnerd