Prove There Are No Non-zero Solutions | Math Olympiad Training | Diophantine Equations

Prove the only integer solution to the equation is x=y=z=0.

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Maths videos by Giuliano Grasso - mathematics graduate from the University of East Anglia.

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[danielnguyen]

Great video. I think for mathematicians this is good, but if you want to make it more accessible to others, slowing down your explanation and maybe explaining some steps in further detail would help. Just a suggestion :)

[krestenbremer]

I cannot see how you can go from case 1 to case 2 like that. But you can rule out E-O-O like you do. But then the E-E-E case leads to p^2+q^2+r^2=4pqr. Using the same arguments you can conclude that p, q and r are all even. But then x, y and z will be divisible by 2 infinitely many times - which yields x=y=z=0

Best regards :)

[ygfhfvh]

In South Korea, that problem appeared in a k-12 high school math exam. I think something's going wrong

[SANI-spgq]

Brother solve Olympiad problem s.on algebra

[gamingmusicandjokesandabit]

Ratatouille-inspired alternative title: [Idiot of] Elephantine proportions (Diophantine) Equations: Prove that there are no non-appreciators of the '61 Chateau Latour wine.
(no offence)

[thomasoa]

This is not a homogenous equation, so you can’t remove the “Even-Even-Even” case so easily.