Symmetric Diophantine Equations & Divisibility | IMO SL 2019 Problem 2 | Number Theory | Cheenta

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Learn the application of Symmetric Diophantine Equations & Divisibility through the solution of a Number Theory Problem from IMO SL 2019 Problem 2.

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Keep learning great Mathematics!

#matholympiadpreparation #numbertheory #internationalmathematicalolympiad
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Excellent. Nice. Thumbs up from Indonesia

papanujian
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Grt problem for nt lovers, very similar to one of the usamo Problem...

amaysharma
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For the homework problem, let a>=b>=c then c<=6 and taking mod 7 we get a==b==c==1mod 7 so from here, c=1
a^3+b^3 =2004
b<=10 but b=7k+1 for some positive INTGER k so b=1 or 8
B=1 and 8 yeild no soln if my calc is correct hence no soln

amaysharma