A Nice Diophantine Equation from Russian Math Olympiad with Interesting Skills You Should Know

In this video, I am presenting step-by-step solutions to this nice diophantine equation form Russian Math Olympiad by using special skill you should know and learn. Diophantine equation is an important and interesting topic in number theory, and this problem will walk you through how to analyze the problem and come up with algebraic work to come up with solutions. Finding integer solutions would make this question simplified a bit, and quadratic function was also used as a part of work. Russian Math Olympiad is full of interesting yet challenging problems. More to come! Stay tuned!

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[mathonymics]

I did this in just 40sec
nice explanation tho

[Min-cvnt]

Easy to guess but hard to actually mathematically solve. nice job professor

[rubensramos]

Oh my God!! This is hard, too many tricks.

[rubensramos]

Well, x = 1/sqrt((1/z)Wq(z((61+y^3)^(-2/3)))), z = 2y/3 and q = 5/2. Obviously, x=6 when y = 5.

[margosharomanova]

You're content is cool, but your russophobia is not enough