A Tough Diophantine Equation!

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Sorry for the lack of videos, I've been taking a break and preparing for the next series! Anyway, enjoy this little video demonstrating my knowledge of number theory :P
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Fantastic video. It was quite a recursive process to solve the Diophantine equation. You needed to solve for y, then solve another slightly easier equation for x, and so on. Keep the great work flowing. Have a good day.

arongil
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Solution to the Diopanthine Equation

(x, y, z)=(1, 1, 1)

N = 5

40 x^1 + 60 y^1 = 100 z^1

Is this a valid Diopanthine Equation?

FOOTNOTE: 0:54
1^5=1

sanjaykamath